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

1 Answer
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)