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What us the LCM of 45 22 and 30?

Updated: 8/19/2019
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Q: What us the LCM of 45 22 and 30?
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What is the least common multiple for 20 and 36?

The LCM of 20, 36, and 45 is 180. We look at the largest number, 45. For it to be a multiple of 20, it must end with a zero and have an even second-last digit. To get 45 to end with a zero, we can multiply it by 2, which gives us 90. 90 does not have an even second-last digit, so once again we multiply it by another 2, which gives us 180. 180 ends with a 0, and has an even second-last digit. If you then attempt to divide 180 by 20, 36 and 45, you'll find that it divides perfectly into all 3.


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To find the LCM of numbers you first need to break them down into their prime factors. In this case: 27=3x3x3 45=5x3x3 81=3x3x3x3 The next step is to disregard any duplicates when there are common prime factors. All numbers use two 3s so we can disregard 4 of them. Two numbers use an additional 3 so we can disregard 1 of them. This leaves us with: 5,3,3,3,3 Find the product of all of these numbers: 5x3x3x3=405 And that gives us the LCM. So the LCM of 27, 45, and 81 is 405.


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