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

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 ${2}^{3} \cdot 5$. Thus, the least common denominator is ${2}^{3} \cdot 5 = 8 \cdot 5 = 40$