What is the least common denominator of the fractions 4/15 1/6 and 3/4

60

Step-by-step explanation:

We have to find least common denominator for these fractions or we just have to find the least common multiple for 15, 6 and 4

In order to find the least common multiple, we have to represent these numbers as factors of prime numbers:

15 = 3 * 5

6 = 2 * 3

4 = 2 * 2

Least common multiples will be common factors (considering that there are no more than of them in other numbers) and the uncommon factors. Then, we can write that:

2 * 2 * 3 * 5 = 60 (there are two 2's, one common 3 and an uncommon 5)

The denominator will be 60 for the least common multiples.