What is the least common denominator of 3/4, 3/8, and 1/5?

1 Answer
sente
Apr 13, 2016

#40#

Explanation:

If we look at the prime factorizations of the denominators, we have

#4 = 2^2#
#8 = 2^3#
#5 = 5^1#

The least common denominator will be the minimal product containing all factors above to their appropriate powers. In this case, that would be #2^3*5#. Thus, the least common denominator is #2^3*5=8*5=40#

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