What is the least common denominator of 6, 15, 40?

1 Answer
MeneerNask
Nov 10, 2016

You'll have to factorize into primes first:

Explanation:

#6=2xx3#
#15=3xx5#
#40=2xx2xx2xx5#
Then you take all factors to the highest power present in each one of them:
#2xx2xx2xx3xx5=120#

Check your answer!
#120div6=20=2xx2xx5#
#120div15=8=2xx2xx2#
#120div40=3#
And these have no common factor between the three of them.
(or else it wouldn't be the least common denominator)

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