What is the least common multiple of 12, 16, 7, 2?

1 Answer
George C.
May 13, 2016

#336#

Explanation:

The prime factorisations of these numbers are:

#12 = 2 xx 2 xx 3#

#16 = 2 xx 2 xx 2 xx 2#

#7 = 7#

#2 = 2#

So the smallest number which includes all of these prime factors with these multiplicities is:

#2 xx 2 xx 2 xx 2 xx 3 xx 7 = 336#

So this is the smallest number divisible by all of #12, 16, 7, 2#.

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