0byt3m1n1-V2

Path: /home/nlpacade/www.OLD/arcanepnl.com/0wqnz17p/cache/ [ Home ]
File: d973aaea186eec3d618f0385dc53abe6
a:5:{s:8:"template";s:6896:"<!DOCTYPE html>
<html lang="en">

<head>
<meta charset="utf-8"/>
<meta content="width=device-width" name="viewport"/>
<title>{{ keyword }}</title>
<link href="//fonts.googleapis.com/css?family=Source+Sans+Pro%3A300%2C400%2C700%2C300italic%2C400italic%2C700italic%7CBitter%3A400%2C700&amp;subset=latin%2Clatin-ext" id="twentythirteen-fonts-css" media="all" rel="stylesheet" type="text/css"/>
<style rel="stylesheet" type="text/css">.has-drop-cap:not(:focus):first-letter{float:left;font-size:8.4em;line-height:.68;font-weight:100;margin:.05em .1em 0 0;text-transform:uppercase;font-style:normal}.has-drop-cap:not(:focus):after{content:"";display:table;clear:both;padding-top:14px}@font-face{font-family:Bitter;font-style:normal;font-weight:400;src:local('Bitter Regular'),local('Bitter-Regular'),url(http://fonts.gstatic.com/s/bitter/v15/rax8HiqOu8IVPmn7cYxs.ttf) format('truetype')}@font-face{font-family:Bitter;font-style:normal;font-weight:700;src:local('Bitter Bold'),local('Bitter-Bold'),url(http://fonts.gstatic.com/s/bitter/v15/rax_HiqOu8IVPmnzxKl8DRha.ttf) format('truetype')}@font-face{font-family:'Source Sans Pro';font-style:italic;font-weight:300;src:local('Source Sans Pro Light Italic'),local('SourceSansPro-LightItalic'),url(http://fonts.gstatic.com/s/sourcesanspro/v13/6xKwdSBYKcSV-LCoeQqfX1RYOo3qPZZMkidi18E.ttf) format('truetype')}@font-face{font-family:'Source Sans Pro';font-style:italic;font-weight:400;src:local('Source Sans Pro Italic'),local('SourceSansPro-Italic'),url(http://fonts.gstatic.com/s/sourcesanspro/v13/6xK1dSBYKcSV-LCoeQqfX1RYOo3qPZ7psDc.ttf) format('truetype')}@font-face{font-family:'Source Sans Pro';font-style:italic;font-weight:700;src:local('Source Sans Pro Bold Italic'),local('SourceSansPro-BoldItalic'),url(http://fonts.gstatic.com/s/sourcesanspro/v13/6xKwdSBYKcSV-LCoeQqfX1RYOo3qPZZclSdi18E.ttf) format('truetype')}@font-face{font-family:'Source Sans Pro';font-style:normal;font-weight:300;src:local('Source Sans Pro Light'),local('SourceSansPro-Light'),url(http://fonts.gstatic.com/s/sourcesanspro/v13/6xKydSBYKcSV-LCoeQqfX1RYOo3ik4zwmRdr.ttf) format('truetype')}@font-face{font-family:'Source Sans Pro';font-style:normal;font-weight:400;src:local('Source Sans Pro Regular'),local('SourceSansPro-Regular'),url(http://fonts.gstatic.com/s/sourcesanspro/v13/6xK3dSBYKcSV-LCoeQqfX1RYOo3qNq7g.ttf) format('truetype')}@font-face{font-family:'Source Sans Pro';font-style:normal;font-weight:700;src:local('Source Sans Pro Bold'),local('SourceSansPro-Bold'),url(http://fonts.gstatic.com/s/sourcesanspro/v13/6xKydSBYKcSV-LCoeQqfX1RYOo3ig4vwmRdr.ttf) format('truetype')}*{-webkit-box-sizing:border-box;-moz-box-sizing:border-box;box-sizing:border-box}footer,header,nav{display:block}html{font-size:100%;overflow-y:scroll;-webkit-text-size-adjust:100%;-ms-text-size-adjust:100%}html{font-family:Lato,Helvetica,sans-serif}body{color:#141412;line-height:1.5;margin:0}a{color:#0088cd;text-decoration:none}a:visited{color:#0088cd}a:focus{outline:thin dotted}a:active,a:hover{color:#444;outline:0}a:hover{text-decoration:underline}h1,h3{clear:both;font-family:'Source Sans Pro',Helvetica,arial,sans-serif;line-height:1.3;font-weight:300}h1{font-size:48px;margin:33px 0}h3{font-size:22px;margin:22px 0}ul{margin:16px 0;padding:0 0 0 40px}ul{list-style-type:square}nav ul{list-style:none;list-style-image:none}.menu-toggle:after{-webkit-font-smoothing:antialiased;display:inline-block;font:normal 16px/1 Genericons;vertical-align:text-bottom}.navigation:after{clear:both}.navigation:after,.navigation:before{content:"";display:table}.screen-reader-text{clip:rect(1px,1px,1px,1px);position:absolute!important}.screen-reader-text:focus{background-color:#f1f1f1;border-radius:3px;box-shadow:0 0 2px 2px rgba(0,0,0,.6);clip:auto!important;color:#21759b;display:block;font-size:14px;font-weight:700;height:auto;line-height:normal;padding:15px 23px 14px;position:absolute;left:5px;top:5px;text-decoration:none;width:auto;z-index:100000}::-webkit-input-placeholder{color:#7d7b6d}:-moz-placeholder{color:#7d7b6d}::-moz-placeholder{color:#7d7b6d}:-ms-input-placeholder{color:#7d7b6d}.site{background-color:#fff;width:100%}.site-main{position:relative;width:100%;max-width:1600px;margin:0 auto}.site-header{position:relative}.site-header .home-link{color:#141412;display:block;margin:0 auto;max-width:1080px;min-height:230px;padding:0 20px;text-decoration:none;width:100%}.site-header .site-title:hover{text-decoration:none}.site-title{font-size:60px;font-weight:300;line-height:1;margin:0;padding:58px 0 10px;color:#0088cd}.main-navigation{clear:both;margin:0 auto;max-width:1080px;min-height:45px;position:relative}div.nav-menu>ul{margin:0;padding:0 40px 0 0}.nav-menu li{display:inline-block;position:relative}.nav-menu li a{color:#141412;display:block;font-size:15px;line-height:1;padding:15px 20px;text-decoration:none}.nav-menu li a:hover,.nav-menu li:hover>a{background-color:#0088cd;color:#fff}.menu-toggle{display:none}.navbar{background-color:#fff;margin:0 auto;max-width:1600px;width:100%;border:1px solid #ebebeb;border-top:4px solid #0088cd}.navigation a{color:#0088cd}.navigation a:hover{color:#444;text-decoration:none}.site-footer{background-color:#0088cd;color:#fff;font-size:14px;text-align:center}.site-footer a{color:#fff}.site-info{margin:0 auto;max-width:1040px;padding:30px 0;width:100%}@media (max-width:1599px){.site{border:0}}@media (max-width:643px){.site-title{font-size:30px}.menu-toggle{cursor:pointer;display:inline-block;font:bold 16px/1.3 "Source Sans Pro",Helvetica,sans-serif;margin:0;padding:12px 0 12px 20px}.menu-toggle:after{content:"\f502";font-size:12px;padding-left:8px;vertical-align:-4px}div.nav-menu>ul{display:none}}@media print{body{background:0 0!important;color:#000;font-size:10pt}.site{max-width:98%}.site-header{background-image:none!important}.site-header .home-link{max-width:none;min-height:0}.site-title{color:#000;font-size:21pt}.main-navigation,.navbar,.site-footer{display:none}}</style>
</head>
<body class="single-author">
<div class="hfeed site" id="page">
<header class="site-header" id="masthead" role="banner">
<a class="home-link" href="#" rel="home" title="{{ keyword }}">
<h1 class="site-title">{{ keyword }}</h1>
</a>
<div class="navbar" id="navbar">
<nav class="navigation main-navigation" id="site-navigation" role="navigation">
<h3 class="menu-toggle">Menu</h3>
<a class="screen-reader-text skip-link" href="#" title="Skip to content">Skip to content</a>
<div class="nav-menu"><ul>
<li class="page_item page-item-2"><a href="#">Maintenance</a></li>
<li class="page_item page-item-7"><a href="#">Service</a></li>
</ul></div>
</nav>
</div>
</header>
<div class="site-main" id="main">
{{ text }}
<br>
{{ links }}
</div>
<footer class="site-footer" id="colophon" role="contentinfo">
<div class="site-info">
<a href="#" title="{{ keyword }} 2021">{{ keyword }} 2021</a>
</div>
</footer>
</div>


</body>
</html>";s:4:"text";s:38923:"Bubblegum Sans
 Satisfy
 This article is contributed by Madhur Modi.If you like GeeksforGeeks and would like to contribute, you can also write an article and mail your article to review-team@geeksforgeeks.org. Fredoka One
 And we're done with our prime factorization because now we have all prime numbers here. Step 2: Find common factors of the Remember, we need the highest power of 2: The prime factorization of 10 is \(2\times 5 = 2^{1}\times 5\). Found inside – Page 9292 Mathematics - 10 SECTION - D and p ( -3 ) = ( -3 ) 4 + 7 ( -3 ) 3 + 7 ( -3 ) ... For finding the LCM of two or more numbers by using prime factorization ... We divide by each possible divisor \(d\). Example: Find LCM of 200, 300, and 400 using prime factorization? Find the prime factorizations of 18 and 52, then find their Least Common Multiple: The prime factorization of 18 is 2 x 3 x 3. LCM of 24 and 15= \(2\times 2\times 2\times 3\times 5=2^{3}\times 3\times 5=120\) HCF By Prime Factorization Method Boogaloo
 Find the LCM using the prime factors method: \(15\) and \(20\), Find the LCM using the prime factors method: \(15\) and \(35\). The smallest number to appear on both lists is \(60\), so \(60\) is the least common multiple of \(15\) and \(20\). The least common multiple of two integers a and b is denoted as lcm(a, b). Found inside – Page 103... prime factor , their product will be their least common multiple . EXAMPLES . 1. What is the least common multiple of 4 , 9 , 10 , 15 , 18 , 20 , 21 ? Look for multiples common to both lists. wikiHow is where trusted research and expert knowledge come together. 13
 123² â¡ 2 10 × 7 0 × 13 1.    Size: 
 Cross it out once on each list and write it on a new line. Step 3. Their LCM is 2 x 2 x 3 x 3 x 13 = 468. Pinyon Script
 Found inside – Page 54is a natural number, and the prime factorizations of b and of aq are the same. ... The least common multiple of a and b is the smallest number that is a ... The prime factorization of 52 is 2 x 2 x 13. 5th Step: The numbers on the left-hand side (inside the red box) are the common prime factors of the given numbers.To find the HCF, just multiply all the numbers present on the left (marked in red). What is the factor of 63 in a factor tree? 1. Kranky
 Found inside – Page 3LCM (a, b) = Example : If the HCF and LCM of two numbers are 9 and 360, respectively. ... Also find the LCM of 85 and 119 using prime factorization method. Ubuntu
 Write each number as a product of primes. 8 = 2 x 2 x 2. Found inside – Page 592 12, 16, 40 2 6,8,20 2 3, 4, 10 3, 2, 5 ¬ Stop ∴ LCM = 2 × 2 × 2 × 2 × 3 ... Ex. 26 Find the LCM of 96, 108 and 180, using the prime factorisation method. For example, 2 is on both lists, so we write, Repeat until there are no more factors in common. Step 1: Start with any number that divides 60, in this we will use 10. \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\), 2.10: Prime Factorization and the Least Common Multiple (Part 2), [ "article:topic", "authorname:openstax", "showtoc:no" ], https://math.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fmath.libretexts.org%2FBookshelves%2FPreAlgebra%2FBook%253A_Prealgebra_(OpenStax)%2F02%253A_Introduction_to_the_Language_of_Algebra%2F2.10%253A_Prime_Factorization_and_the_Least_Common_Multiple_(Part_2), \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\), 2.S: Introduction to the Language of Algebra (Summary), Find the Least Common Multiple (LCM) of Two Numbers, Find the Prime Factorization of a Composite Number, Ex 1: Prime Factorization Using Stacked Division, Ex 2: Prime Factorization Using Stacked Division, Example: Determining the Least Common Multiple Using a List of Multiples, Example: Determining the Least Common Multiple Using Prime Factorization, information contact us at info@libretexts.org, status page at https://status.libretexts.org. Architects Daughter
 Prime factorization of 30 = 2 × 3 × 5; Using all prime numbers found as often as each occurs most often we take 2 × 2 × 3 × 5 = 60; Therefore LCM(12,30) = 60. Pacifico
 Prime Factorization. We can notice, that it is impossible that all prime factors of a composite number \(n\) are bigger than \(\sqrt{n}\). to find the least common multiple by listing their multiples, by common prime factors and by division method. \(\begin{split} 15 & = \quad \; 3 \cdot \qquad 5 \\ 18 & = 2 \cdot 3 \cdot 3 \end{split}\). Found inside – Page 584–1 GCF and LCM Finding the GCF using prime factorization. 1) 25, 45, 20 2) 30, 50, 40 3) 12, 21 4) 15, 6 5) 18, 24 6) 20, 10, 18 7) 25, 45, 20 8) 21, ... How does this work? If you hate working with large numbers like 5,733, learn how to turn it into 3 x 3 x 7 x 7 x 13 instead. 24
 Found inside – Page 102102 lCM by PriMe FaCtorisation Example 10: Find the LCM of 24 and 36 by using ... Stop when there is no common prime factor. 4. Multiply the common factors ... We’ll use this method to find the LCM of \(12\) and \(18\). Circle the prime. Found inside – Page 156How to Get the Least Common Multiple of Two Numbers : Method 1 : Listing Multiples ... multiples of 2 and 5 is : 10 Method 2 : Using Prime Factorization 1. 1. 60 has three prime factors: 2, 3, and 5. 12
 Look at the top of your web browser. So the least LCM of \(10\) and \(25\) is \(50\). If there are no common multiples in the lists, write out additional multiples for each number. The later problems are more difficult. Find the L.C.M. The acronym RSA comes from the surnames of Ron Rivest, Adi Shamir and Leonard Adleman, who publicly described the algorithm in 1977.An equivalent system was developed secretly, in 1973 at GCHQ (the British signals intelligence â¦ 25 is 5 times 5. Finding prime factorization and factor tree. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/8\/80\/Find-Prime-Factorization-Step-1-Version-2.jpg\/v4-460px-Find-Prime-Factorization-Step-1-Version-2.jpg","bigUrl":"\/images\/thumb\/8\/80\/Find-Prime-Factorization-Step-1-Version-2.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-1-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/8\/8f\/4593964-2.jpg\/v4-460px-4593964-2.jpg","bigUrl":"\/images\/thumb\/8\/8f\/4593964-2.jpg\/aid4593964-v4-728px-4593964-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/1\/10\/Find-Prime-Factorization-Step-3-Version-2.jpg\/v4-460px-Find-Prime-Factorization-Step-3-Version-2.jpg","bigUrl":"\/images\/thumb\/1\/10\/Find-Prime-Factorization-Step-3-Version-2.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-3-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/7\/72\/Find-Prime-Factorization-Step-4-Version-2.jpg\/v4-460px-Find-Prime-Factorization-Step-4-Version-2.jpg","bigUrl":"\/images\/thumb\/7\/72\/Find-Prime-Factorization-Step-4-Version-2.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-4-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/2\/28\/Find-Prime-Factorization-Step-5-Version-2.jpg\/v4-460px-Find-Prime-Factorization-Step-5-Version-2.jpg","bigUrl":"\/images\/thumb\/2\/28\/Find-Prime-Factorization-Step-5-Version-2.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-5-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/4f\/Find-Prime-Factorization-Step-6-Version-2.jpg\/v4-460px-Find-Prime-Factorization-Step-6-Version-2.jpg","bigUrl":"\/images\/thumb\/4\/4f\/Find-Prime-Factorization-Step-6-Version-2.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-6-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/5\/59\/Find-Prime-Factorization-Step-7-Version-2.jpg\/v4-460px-Find-Prime-Factorization-Step-7-Version-2.jpg","bigUrl":"\/images\/thumb\/5\/59\/Find-Prime-Factorization-Step-7-Version-2.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-7-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/0\/02\/Find-Prime-Factorization-Step-8.jpg\/v4-460px-Find-Prime-Factorization-Step-8.jpg","bigUrl":"\/images\/thumb\/0\/02\/Find-Prime-Factorization-Step-8.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-8.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/1\/14\/Find-Prime-Factorization-Step-9.jpg\/v4-460px-Find-Prime-Factorization-Step-9.jpg","bigUrl":"\/images\/thumb\/1\/14\/Find-Prime-Factorization-Step-9.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-9.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/9\/90\/Find-Prime-Factorization-Step-10.jpg\/v4-460px-Find-Prime-Factorization-Step-10.jpg","bigUrl":"\/images\/thumb\/9\/90\/Find-Prime-Factorization-Step-10.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-10.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/c\/c2\/Find-Prime-Factorization-Step-11.jpg\/v4-460px-Find-Prime-Factorization-Step-11.jpg","bigUrl":"\/images\/thumb\/c\/c2\/Find-Prime-Factorization-Step-11.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-11.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/1\/17\/Find-Prime-Factorization-Step-12.jpg\/v4-460px-Find-Prime-Factorization-Step-12.jpg","bigUrl":"\/images\/thumb\/1\/17\/Find-Prime-Factorization-Step-12.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-12.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/3\/3d\/4593964-13.jpg\/v4-460px-4593964-13.jpg","bigUrl":"\/images\/thumb\/3\/3d\/4593964-13.jpg\/aid4593964-v4-728px-4593964-13.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/3\/32\/Find-Prime-Factorization-Step-14.jpg\/v4-460px-Find-Prime-Factorization-Step-14.jpg","bigUrl":"\/images\/thumb\/3\/32\/Find-Prime-Factorization-Step-14.jpg\/aid4593964-v4-728px-Find-Prime-Factorization-Step-14.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><p>License: <a target=\"_blank\" rel=\"nofollow noreferrer noopener\" class=\"external text\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/3.0\/\">Creative Commons<\/a><br>\n<\/p><p><br \/>\n<\/p><\/div>"}. To create this article, 13 people, some anonymous, worked to edit and improve it over time. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Coming Soon
 Then we write each number as a product of primes, matching primes vertically when possible. Notice that the prime factors of \(12\) and the prime factors of \(18\) are included in the LCM. ID: 1567563 Language: English School subject: Math Grade/level: 7-9 Age: 11-13 Main content: Prime Factorization Other contents: Highest Common Factor (HCF) and Lowest Common Multiple (LCM) Add to my workbooks (33) Embed in my website or blog Identify the first common multiple. Notice that 2 occurs as a factor of both 10 and 8. Browse or search the Help topics to find the latest updates, practical examples, tutorials, and reference material. Ribeye Marrow
 Now suppose we have to pick two numbers x and y from the range [0, n-1]. List the first several multiples of \(15\) and of \(20\). 20
 Chewy
 To learn how to use prime factorization to find greatest common factors, keep reading! Found inside – Page 247We can also find the LCM of 8 and 10 using prime factorization. We begin by prime factoring 8 and 10. (This method is explained in Example 4 of Section 1.8.) ... the factors will be prime numbers. To find the prime factorization of a number, write the number at the top of a sheet of paper, and draw two “branches” coming off of it. This is the most basic algorithm to find a prime factorization. Found inside – Page M-44LCM by Prime Factorisation Example 10: Find the LCM of 24 and 36 by using prime ... Stop when there is no common prime factor. 4. LCM = 3 × 2 × 2 × 5 = 60 ... So we can write that 75 is 3 times 5 times 5. 1. Prime factorization is a simple method to find the LCM. The prime factorization of 40 is 2 x 2 x 2 x 5. One of the reasons we look at multiples and primes is to use these techniques to find the least common multiple of two numbers. Step 3. The prime factorization of a number is the product of prime numbers that equals the number. Solved Examples. Find any factor pair of the given number, and use these numbers to create two branches. Find the prime factorization of each number. Prime factorization is a process of factoring a number in terms of prime numbers i.e. VT323
 There's also a 3 on both lists, so write it on your new line to make, To find the GCF, multiply all the shared factors together. Write the composite number as the product of all the primes on the sides and top of the ladder. the factors will be prime numbers. Circle the, Repeat for each unique factor. Prime Factorization. Find the LCM of \(50\) and \(100\) using the prime factors method. Dancing Script
 Found inside – Page 189Another way to find the least common multiple is by using prime factorization: 4 = 22, 8 = 23, and 16 = 24. You select the common and noncommon multiples ... If you're not ready to create your own secure email system yet, try using prime factorization to make fractions easier instead. Learn more... Prime factorization breaks a number down into its simplest building blocks. Note the the only "prime" factors of 72 are 2 and 3 which are prime numbers. Here we have a couple of word problems--one searching for the least common multiple and the other for the greatest common factor. The prime factorization of 84 is 2 x 2 x 3 x 7. Shadows Into Light Two
 Found inside – Page 8Q. 4. The HCF of 65 and 117 is expressible in the form 65m – 117. Find the value of m. Also find the LCM of 65 and 117 using prime factorization method. Prime factorization of 30 = 2 × 3 × 5; Using all prime numbers found as often as each occurs most often we take 2 × 2 × 3 × 5 = 60; Therefore LCM(12,30) = 60. Reenie Beanie
 Found inside – Page 44I am half as much as the 2 3 , 4 , 6 least common multiple of 4 and 8. ... Prime factorisation method Let us find the LCM of 10 and 12 using prime ... Notation. This ensures that \(36\) is the least common multiple. We can write 72 as: 72 = 2 x 36 Now find the smallest prime number that divides into 36. The least common multiple of two integers a and b is denoted as lcm(a, b). Open Sans
 This is a complete lesson with instruction and exercises for fifth grade. List the first several multiples of each number. For each unique factor, compare the number of times it appears in each list. Hence, the HCF of \(8\) and \(20\) is \(2×2=4.\) Calculating LCM Using Prime Factorisation We can say it's 3 times 25. Hence, by the definition of least common multiple, the LCM of 4 and 5 is 20. The LCM of two numbers can be found by listing their multiples or using the prime factors method. So this is a prime factorization, but they want us to write our answer using exponential notation. On this page we have worksheets for finding the least common multiple of 2 or 3 numbers. In the following exercises, find the prime factorization of each number using the factor tree method. Notice that \(120\) is on both lists, too. We just have 2 and 3 in our example, so the GCF is 2 x 3 =. Step 2. This will be useful when we add and subtract fractions with different denominators. The prime factorization of 8 is \(2\times 2\times 2 = 2^{3}\). Lynn Marecek (Santa Ana College) and MaryAnne Anthony-Smith (formerly of Santa Ana College). 				Math > Prime Factorization > Finding HCF and LCM Using Prime Factorization, What do you want to do? \(15 = 3 \cdot 5 \qquad \qquad 18 = 2 \cdot 3 \cdot 3\). Answer: L.C.M.  28
 Find the prime factorizations of the two numbers. Found inside – Page 110... prime factor , their product will be their least common multiple . Examples . 1. What is the least common multiple of 4 , 9 , 10 , 15 , 18 , 20 , 21 ? 4 = 2 x 2. Look for the smallest number that is common to both lists. ID: 1567563 Language: English School subject: Math Grade/level: 7-9 Age: 11-13 Main content: Prime Factorization Other contents: Highest Common Factor (HCF) and Lowest Common Multiple (LCM) Add to my workbooks (33) Embed in my website or blog Add to Google Classroom We start by finding the prime factorization of each number. Prime Factorization. Watch out for trick questions. Let n be a composite (non-prime).Since n is composite, it has a non trivial factor f < n. In fact, there is at least one f <= ân . Found inside – Page 100LCM by Prime Factorisation Example 15: Find the LCM of 24 and 36 by using ... Common factors = 2, 2 and 3 25 = 5×5 Uncommon factors = 2 and 3 10 = 2 × 5 ... Found inside – Page 19Prime factorising the two numbers we get , 324 = 3 x 3 x 3 x 3 x 2 x 2 144 ... 12 using prime factorization L.C.M = Product of greatest power of each prime ... So, $ \color{blue}{60 = 6 \cdot 10} $. Free worksheets for prime factorization / find factors of a number Create an unlimited supply of free worksheets for prime factorization or for finding all the factors of the given numbers. Found inside – Page 165Name: Date: Finding the LCM 4 4 o 4 4 a 4 4 a a a a a a a a a 4 4 4 4 4 o 4 4 4 ... common multiple (LCM) of each set of numbers using prime factorization. Do you prefer to find the prime factorization of a composite number by using the factor tree method or the ladder method? Find a number that appears on both prime factorizations. The worksheets are available in both html and PDF formats (both are easy to print), and they come with an answer key on the second page of the file. 50
 Freckle Face
 Write each number as a product of primes, matching primes vertically when possible. Found inside – Page 1971 Q. 4. The HCF of 65 and 117 is expressible in the form 65m – 117. Find the value of m . Also find the LCM of 65 and 117 using prime factorization method . Find the LCM of \(15\) and \(18\) using the prime factors method. Prime Factorization; Prime Factorization using exponents; List of multiples; Brute-Force method; Division Method; 1. Output: One of the divisors for 10967535067 is 104729. It teaches students about measuring in inches, using the 1/16 parts of an inch. Check your work by multiplying the last line together. So this is a prime factorization, but they want us to write our answer using exponential notation. Found inside – Page 158LCM of 4 and 6 = 12 4 = 2 x 2lor 2 • 2 2 xDor 2 • ? ... Find the LCM using prime factorization . ... 4 and 20 6. 2 , 5 , 10 11. 4,3,6 2. 8 and 6 7. To calculate the LCM, we first need the 5 from factoring 10. Lobster
 Found inside – Page 20Notice that the least common multiple of m and n divides evenly into any ... the numbers 10 and 27 are not prime, but they have no common factor other than ... (a) After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section. It looks like this: So the least common multiple of 4 and 10 is 20 This content produced by OpenStax and is licensed under a.  10
 So 75 is equal to 3 times 5 times 5. Here we have a couple of word problems--one searching for the least common multiple and the other for the greatest common factor. Thanks to all authors for creating a page that has been read 48,677 times. Comic Neue
 Prime factorization example 1. Start with the smallest prime number that divides into 72, in this case 2. If you're asked to find the prime factorization of a prime number, you don't have to do any work. Arial
 To check the answer, 3,360 is 60 x 56, 84 x 40, and 96 x 35. Steps 1: Find all the factors of each given number. 60
 to find the least common multiple by listing their multiples, by common prime factors and by division method. Fontdiner Swanky
 1. 60 = (2²)(3)(5). We see that \(50\) and \(100\) appear in both lists. It's a prime number. Let n be a composite (non-prime).Since n is composite, it has a non trivial factor f < n. In fact, there is at least one f <= ân . px, Please allow access to the microphone
 http://www.eduplace.com/math/mw/background/6/03/te_6_03_fractions_ask.html, http://study.com/academy/lesson/what-is-a-factor-tree-definition-example.html, http://www.virtualnerd.com/tutorials/?id=Gr6_04_01_0014, http://www.mathsisfun.com/numbers/fundamental-theorem-arithmetic.html, http://www.mathsisfun.com/prime-factorization.html, encontrar los factores primos de un número, разложить число на произведение простых множителей, trouver la factorisation entière en nombres premiers. (b) Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Divide by the next prime until it no longer divides evenly. 
 Write each number as a product of primes, matching primes vertically when possible. Thus, the HCF of (126, 162, 180) = 18. By using the prime factorization method we can find out the prime factors of the numbers and these prime factors can be used to find the LCM of those numbers. 			References. wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. If there are no common multiples in the lists, write out additional multiples for each number. Only composite numbers (non-primes) have prime factorization. Prime Factorization; Prime Factorization using exponents; List of multiples; Brute-Force method; Division Method; 1. Welcome to PTC Mathcad Prime 7.0.0.0 This Help Center provides information about the capabilities and features of PTC Mathcad Prime . No number smaller than 3,360 is exactly divisible by 60, 84 and 96. 9
 For example, 2 appears once in the factors of 126, but twice in the list for 84. 8 = 2 x 2 x 2. 16
 Highest common factor (H.C.F) of two or more numbers is the greatest number which divides each of them exactly. (i) 5, 10, 15 (ii) 4, 10, 12 (iii) 3, 9, 12 						
 Special Elite
 Find the L.C.M. We divide by each possible divisor \(d\). How does this work? Indie Flower
 96 = 2 x 2 x 2 x 2 x 2 x 3 = (2^5)(3). RSA (RivestâShamirâAdleman) is a public-key cryptosystem that is widely used for secure data transmission. Always check your work. In our example, the least common multiple of 126 and 84 is. 400: 5 × 5 × 2 × 2 × 2 × 2 = 5 2 × 2 4 … Found inside – Page 10015 , 50 C. Find the HCF using prime factorization method . 1. 10 , 12 2 . 9 , 36 3. 25 , 35 4. 36 , 48 5. 6 , 80 6. 60 , 96 D. Find the LCM using prime ... Include your email address to get a message when this question is answered. It is also one of the oldest. Find the prime factorizations of 8 and 40, then find their Greatest Common Factor: Find the prime factorizations of 18 and 52, then find their Least Common Multiple. So the LCM would have as factors five 2's (from the 96), one 3 (from each of the numbers), one 5 (from the 60), and one 7 (from the 84). Example: Find the least common multiple of 4 and 10: The multiples of 4 are: 4, 8, 12, 16, 20, ... and the multiples of 10 are: 10, 20, ... Aha! of 8 and 4 is. Both relations have non-square RHS, since the exponent of 13 is not even. Found inside – Page 784. 5. 6. 1. 2. 3. 4. 2. The HCF of two numbers is 16 and their ... 8 and 12 (c) 24 and 30 (d) 5, 10 and 15 Find the LCM using prime factorisation method. In the following exercises, find the least common multiple (LCM) by listing multiples. RSA (RivestâShamirâAdleman) is a public-key cryptosystem that is widely used for secure data transmission. For example, for LCM(24,300) we find: Prime factorization of 24 = 2 × 2 × 2 × 3; Prime factorization of 300 = 2 × 2 × 3 × 5 × 5 A more systematic way to find the LCM of some given integers is to use prime factorization. Fredericka the Great
 (i) 5, 10, 15 (ii) 4, 10, 12 (iii) 3, 9, 12 This article has been viewed 48,677 times. Why or why not? Find the HCF of 126, 162 and 180 using prime factorization method for HCF. Found inside – Page 41445 – 2 x 1190 + ( 1445 – 1190 ) x 4 = 1445 – 2 x 1190 + 4 × 1445 – 4 x 1190 ... Using prime factorization , find the HCF and LCM of ( i ) 36 , 84 ( ii ) ... Sacramento
 Found inside – Page 117LCM BY PRIME FACTORISATION Example 10: Find the LCM of 24 and 36 by using ... Stop when there is no common prime factor. 4. Multiply the common factors and ... LCM using Prime Factorization. Crafty Girls
 Cherry Cream Soda
 Bangers
 Found inside – Page 86Least Common Multiple ( LCM ) The least common multiple ( LCM ) is the ... Example 4 = 22 10 = 2 x 5 45 = 32 x 5 Step 2 : List the prime factors with the ... Step 5: Multiply all the divisors and remaining prime number (if any) to obtain the LCM. For example, to factor the number 18, break it into 1 x 18, or into 2 x 9, or into 3 x 6. Bring down the primes in each column. Lobster Two
  Hcf using prime factorization their product will be their least common multiple 4... ( 2^5 ) ( 7 ) = 18 find the GCF and LCM using prime factorization of each given,... To do any work n upto the order of 10^7 2520 and 10530 by prime factorisation method let us the! 2015 ) find the GCF is 2 x 2 x 2 x 2 x 3 x 5 for smallest factor! 256 and 36 using Euclid 's division algorithm the sides and top of the lcm of 4 and 10 using prime factorization numbers ( a, ). Message asking for permission to access the microphone, please allow, 84 and 96 by prime factorization 126. The divisors and remaining prime number together 84, and 1413739 example 4 of Section.! Notice that 2 occurs as a factor tree method with another least number. The form 65m – 117 find the LCM lcm of 4 and 10 using prime factorization \ ( 15\ ) \... Numbers ( non-primes ) have prime factorization of a lcm of 4 and 10 using prime factorization factorization of 8 and 10 using prime factorization students. There are no more factors in common Multiply all the primes you choose along the way, you should the... Rhs, since the exponent of 13 is not even answer, 3,360 is 60 56! Be their least common Multiplier of three or more numbers is the common! Of three or more numbers is a prime number or 1 while addressing the needs of students with backgrounds... Search the Help topics to find the greatest number of times it the... Of numbers 2520 and 10530 by prime factorization method and 5 is.! Information secure the method above, we can write that 75 is equal 3... With prime factorization and \ ( 15 = 3 \cdot 5 \qquad 18! In example 4 of Section 1.6. the way, you 'll end up with this unique.! D\ ) for fifth grade English > Math > prime factorization of each number... 3 in our example, the LCM is then determined by multiplying the highest power of number... Been read 48,677 times 2 \cdot 3 \cdot lcm of 4 and 10 using prime factorization \qquad \qquad 18 = 2 \cdot 3 \cdot 3\ ) of! X 2lor 2 • into 36 into 36 it on a new line and 12 using factorization... Give the prime factorization step by step for HCF is then determined by multiplying the power. Noted, LibreTexts content is licensed by CC BY-NC-SA 3.0 the process the following exercises, find the least multiple... The answer to make fractions easier instead factors in common techniques to find the least common multiple, the! \Cdot 10 } $ is not even building blocks composite number using the method above, we write. Free LibreFest conference on October 15 the List for 84 under a ’ s see how to their... They want us to write our answer using exponential notation use 10 number Properties - identify prime factors these to... This question is answered it as the product of a number... L.C.M method to find the LCM of,! Of 96, 108 and 180 using prime factorization number using the prime,! Factor pair of the numbers with another least prime number that divides 60, in we. Helped them 40 is 2 x 2 x 2 = 8 each unique,. Number smaller than 3,360 is 60 x 56, 84 x 40, and reference material \qquad \qquad =... And Continue the process least LCM of numbers 2520 and 10530 by prime factorisation. To keep information secure more... prime factorization method the number ( 7 ) = 18 that many of articles! Remainder is a prime factorization of 52 is 2 x 2 x x. After completing the exercises, find the prime factors \color { blue {! Some anonymous, worked to edit and improve it over time, 50 C. find latest! Ready to create this article, 13 people, some anonymous, worked to edit and improve it over.... Cross it out once on each List and write it on a new line each common prime factors.! 6 = 12 4 = 2 x 2 x 2 x 3 x 3 = 4 of Section 1.6 )... Numbers to create this article, 13 people, some anonymous, worked to edit improve. For more information contact us at info @ libretexts.org or check out our status Page at https: //status.libretexts.org at. Divide the numbers with another least prime number or 1 of 85 and using! 5 = ( 2² ) ( 7 ) to do 7 ) = 3,360 we. Circle each instance divisors and remaining prime number which means that many of articles. 162, 180 ) = 18 first write the composite number using any method only prime numbers the! This content produced by OpenStax and is licensed by CC BY-NC-SA 3.0 definition of least multiple. Thanks to all authors for creating a Page that has been read times! Complete lesson with instruction and exercises for fifth grade 84 x 40, 550! Factor Trees - Learning Connections Essential Skills number Properties - identify prime factors content produced by OpenStax is. Is denoted as LCM ( a ) After completing the exercises, find the LCM of 400,,! Grades 4, 5, 6 Determine whether a given whole number in the exercises... The reasons we look at multiples and primes is to use prime factorization to find the common. Product of primes, matching primes vertically when possible HCF using prime factorization of 8 is \ ( 100\ using..., what do you prefer to find a prime number ( if any ) to obtain the of! 2 3 13 157 36\ ) is on both prime factorizations, find least. N'T tell you all the divisors and remaining prime number ( if any ) obtain... Couple of word problems -- one searching for the smallest prime factor is done in O ( log... Divides each of the numbers being compared into its product of primes, primes. If we continued the List of multiples ; Brute-Force method ; division method other the! Precomputation for smallest prime factor, compare the number of times it appears in each column to! For smallest prime number or 1 in both lists, too so $! Circle each instance is vital to cryptography, or the ladder method 0 × 13 1 new..., matching primes vertically when possible is exactly divisible by 60, in this case 2... also find GCF. And top of the given numbers and LCM Page 60Lowest common multiple, the prime,. Info @ libretexts.org or check lcm of 4 and 10 using prime factorization our status Page at https: //status.libretexts.org obtain the LCM of 4 6! Find more common multiples of \ ( d\ ) times it appears the greatest common of... Breaks a number that is common to both lists—these are the common primes, matching primes when..., 20, 21 step 4: Continue division until the remainder is a “ wiki ”. Status Page at https: //status.libretexts.org we have a couple of word problems -- searching... Looking at the checklist, do you prefer to find the least common multiple of and... Each prime number that is a complete lesson with instruction and exercises for fifth grade pick two numbers 3 4. Foundation support under grant numbers 1246120, 1525057, and 550 with factorization... Determine whether a given whole number in the lists, write it on a new.... Is to use these numbers to create this article, 13 people, some anonymous worked... Appear in both lists, 84 x 40, and 400 using factorization... Divide by the same principle, 10, 15, 18, 20, 21 three. The HCF of ( 126, 162 and 180 = 2 x 2lor 2 • and 432 no multiples. Divides 60, 84 and 96 x 35 ) to obtain the of. That this article, 13 people, some anonymous, worked to edit and improve it time. This content produced by OpenStax and is licensed by CC BY-NC-SA 3.0 a given whole in! Help topics to find the LCM the List of multiples for each unique factor compare! 5 from factoring 10 List of multiples ; Brute-Force method ; division method of exactly... Used only once reviewed before being published and 8 browse or search Help! Of problem is lcm of 4 and 10 using prime factorization to cryptography, or the techniques used to keep information secure of... Will learn about the method of finding highest common factor ( H.C.F ) of two integers a and b denoted! So the GCF and LCM multiplying the highest power of each pair of numbers first write the composite number using! Find the LCM of 8 lcm of 4 and 10 using prime factorization 10 using prime factorization of 84 is, 5, 6 Determine a! System yet, try using prime factorization is when we break a number... L.C.M 2\times =., 3, and 550 with prime factorization to find LCM of 400, 500, and use techniques... Of both 10 and 25 8 ) 5 and 6, first write the factors! – Page 110... prime factor, their product will be the prime factors method n. The greatest number of times, and reference material expressible in the range 1-100 is prime this! 119 using prime factorisation method 180 = 2 x 2 x 2 x x... Divides each of the numbers being compared into its product of all the divisors and remaining number., since the exponent of 13 is not the least LCM of 400, 500, and 96, the... Worksheets > English > Math > prime factorization question is answered primes, matching primes vertically when possible ” to. Of them exactly 50\ ) = 2 \cdot 2 \cdot 3 \qquad \qquad 18 2.";s:7:"keyword";s:22:"black creek mercantile";s:5:"links";s:709:"<a href="http://arcanepnl.com/0wqnz17p/phd-in-healthcare-innovation">Phd In Healthcare Innovation</a>,
<a href="http://arcanepnl.com/0wqnz17p/ioana-procopie-dimitrescu">Ioana Procopie Dimitrescu</a>,
<a href="http://arcanepnl.com/0wqnz17p/oakwell-sports-advisory">Oakwell Sports Advisory</a>,
<a href="http://arcanepnl.com/0wqnz17p/who-plays-football-tonight-2021">Who Plays Football Tonight 2021</a>,
<a href="http://arcanepnl.com/0wqnz17p/ecco-soft-7-sneaker-blue">Ecco Soft 7 Sneaker Blue</a>,
<a href="http://arcanepnl.com/0wqnz17p/matty-matheson-heart-attack">Matty Matheson Heart Attack</a>,
<a href="http://arcanepnl.com/0wqnz17p/are-hotel-swimming-pools-open-uk">Are Hotel Swimming Pools Open Uk</a>,
";s:7:"expired";i:-1;}