layout: lcm
value: 72
value2: 96
multiples: [72,144,216,288,360,432,504,576,648,720,792,864,936,1008,1080,1152,1224,1296,1368,1440,1512,1584,1656,1728,1800,1872,1944,2016,2088,2160,2232,2304,2376,2448,2520,2592,2664,2736,2808,2880,2952,3024,3096,3168,3240,3312,3384,3456,3528,3600,3672,3744,3816,3888,3960,4032,4104,4176,4248,4320,4392,4464,4536,4608,4680,4752,4824,4896,4968,5040,5112,5184,5256,5328,5400,5472,5544,5616,5688,5760,5832,5904,5976,6048,6120,6192,6264,6336,6408,6480,6552,6624,6696,6768,6840,6912]
multiples2: [96,192,288,384,480,576,672,768,864,960,1056,1152,1248,1344,1440,1536,1632,1728,1824,1920,2016,2112,2208,2304,2400,2496,2592,2688,2784,2880,2976,3072,3168,3264,3360,3456,3552,3648,3744,3840,3936,4032,4128,4224,4320,4416,4512,4608,4704,4800,4896,4992,5088,5184,5280,5376,5472,5568,5664,5760,5856,5952,6048,6144,6240,6336,6432,6528,6624,6720,6816,6912]
gcf: 24
commonPrimes: [2,2,2,2,2,3,3]
def: <h4 class="mt-3 heading">How do we define LCM?</h4><p>LCM, abbreviation for least common multiple, is defined as the smallest number that is the product of two or more numbers 72 and 96</p>
properties: <li>The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 72 and 96 is 288, where 72 and 96 are less than 288.</li><li>LCM is associative which means LCM(72, 96) = LCM(96, 72).</li><li>LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).</li><li>LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).</li><li>The LCM of two or more prime numbers is their product.</li>
examples: <div class="example-box">**Franky and Joy are running on a circular track. They start at the same time. They take 72 and 96 minutes respectively to go round once. Find at what time they will run together?**<p>Franky and Joy are running on a circular track. They take 72 and 96 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 72 and 96.</br>So, LCM of 72 and 96 is 288.</p></div><div class="example-box">**A shopkeeper sells candies in packet of 72 and chocolates in packet of 96. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?**<p>The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 72 and 96.</br>So, LCM of 72 and 96 is 288.</p></div><div class="example-box">**Both the cricket team and the rugby team had games, today. The cricket team plays every 72 days and the basketball team plays every 96 days. When will both teams have games on the same day again?**<p>Given that the cricket team plays every 72 days and the basketball team plays every 96 days, so for finding the next time when both teams will play again we need to find the LCM of 72 and 96.</br>So, LCM of 72 and 96 is 288.</p></div><div class="example-box">**Sammy’s company prints 72 textbooks at a time. Daniel’s company prints textbooks in sets of 96 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.**<p>To find the least number of textbooks that each company could have printed we need to find the LCM of 72 and 96.</br>So, LCM of 72 and 96 is 288.</p></div><div class="example-box">**Ariel exercises every 72 days and Rubel every 96 days. They both excercised today. How many days will it be until they excercise together again?**<p>The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.</br>So, LCM of 72 and 96 is 288.</p></div><div class="example-box">**What is the relation between LCM and GCF( Greatest Common Factor)?**<p>Greatest common factors or gcf of 72 and 96 is GCF(72, 96) * LCM(72, 96) = (72 x 96) / GCF(72, 96) = 288.</p></div><div class="example-box">**Find the least number which is exactly divisible by 72 and 96.**<p>Least number which is exactly divisible by 72 and 96 is 288.</p></div>
uservisited: <li>LCM of 120 and 60</li><li>LCM of 23 and 69</li><li>LCM of 22 and 64</li><li>LCM of 33 and 7</li><li>LCM of 102 and 184</li><li>LCM of 7 and 35</li><li>LCM of 16 and 16</li><li>LCM of 18 and 12</li><li>LCM of 16 and 180</li><li>LCM of 50 and 40</li><li>LCM of 15 and 1000</li><li>LCM of 150 and 75</li><li>LCM of 16 and 10</li><li>LCM of 144 and 108</li><li>LCM of 148 and 165</li><li>LCM of 9 and 12</li><li>LCM of 107 and 27</li><li>LCM of 28 and 35</li><li>LCM of 18 and 25</li><li>LCM of 6 and 18</li><li>LCM of 27 and 45</li><li>LCM of 210 and 330</li><li>LCM of 18 and 26</li><li>LCM of 12 and 63</li><li>LCM of 12 and 66</li>
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