Question

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

Answer 1

`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`