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Find the LCM of 45 and 270 using prime factorizations

1 Answer

5 votes

Example:

120 and 45

10 and 12 can go into 120. 10 can go into 5 and 2, while 12 can go into 3 and 4. 4 can be still divisible, so it would be 2 and 2.

45 is 9x5. 9 can be divisible, so you would turn them into 3 and 3.

The LCM will be the product of the largest multiple of each prime that appears on at least one list. For example, we have a 2, 3, and 5, so I’ll choose the largest multiples of each and find their product. There are three 2's, three 3's, and 5, or 8 x 9 x 5. That would get you 360.

See how you could get that with your problem?

P.S. I don't answer questions directly, instead, I use examples. Feel free to use other suggestions if this one doesn't appeal to you.

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