How do you find the least common multiple of 9, 15, and 20?

1 Answer
Mar 8, 2017

The least common multiple of #9#, #15# and #20# is #180#.

Explanation:

The prime factorisations of these numbers are:

#9 = 3xx3#

#15 = 3xx5#

#20 = 2xx2xx5#

So the smallest number which has all of these factors in these multiplicities is:

#2xx2xx3xx3xx5 = 180#