Question

The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is

Answer 1

Hello There!

Factor them by their prime factors:
3 = 3
4 = 2 x 2 or 2²
32 = 2 x 2 x 2 x 2 x 2 or
`2^(5)`
9 = 3 x 3 or 3²

Since you can divide 32 by 4 and 9 by 3, you only need to use 32 and 9.

LCD = 2 x 2 x 2 x 2 x 2 x 3 x 3
LCD =
`2^(5)` x
`3^(2)`
LCD = 288

Hope This Helps You!
Good Luck :)

- Hannah ❤

Answer 2

In order to find the least common denominator we need to find the common multiple between the denominators of 3, 4, 32, and 9 and once we get that we have our answer.

Answer: LCD is 288.