Respuesta :

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.
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 [tex] 2^{5} [/tex]
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 = [tex] 2^{5} [/tex] x [tex] 3^{2} [/tex]
LCD = 288

Hope This Helps You!
Good Luck :) 

- Hannah ❤