Question

5/6,3/8 The LCD is 2 24 48

Answer 1

The least common denominator is 24

Solution:

Given that,

$\frac{5}{6} , \frac{3}{8}$

We have to find the least common denominator

The denominators are 6, 8

List all prime factors for each number.

Prime Factorization of 6 is:

2 x 3  

Prime Factorization of 8 is:

2 x 2 x 2

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

2, 2, 2, 3

Multiply these factors together to find the LCM

LCM = 2 x 2 x 2 x 3 = 24

Thus the least common denominator is 24