What is the least common multiple of #{9, 36, 25, 45}#?
1 Answer
May 9, 2016
Explanation:
Given:
First find the prime factorisations of all of the numbers:
#{ (9 = 3 xx 3), (36 = 2 xx 2 xx 3 xx 3), (25 = 5 xx 5), (45 = 3 xx 3 xx 5) :}#
The smallest number that contains all of these prime factors in the multiplicities in which they occur in each of these numbers is:
#2 xx 2 xx 3 xx 3 xx 5 xx 5 = 900#
So this is the least common multiple.
