What is the least common multiple of 3, 4, and 5?

1 Answer
EZ as pi
Jul 13, 2017

#:. LCM = 3 xx 4 xx 5 = 60#

Explanation:

It is not necessary to break these values into their prime factors.
We can find the LCM by inspection.

#3 and 5# are already prime, but we should notice that #3,4 and 5# do not have any common factors at all.

The LCM must be divisible by all them, so there needs to be a #3#, a #4# and a #5#.

#:. LCM = 3 xx 4 xx 5 = 60#

The LCM of any numbers is found from their product divided by any common factors to avoid duplicates.

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