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

1/3

3/4

8/9

5/32

For (1 / 3) and (8 / 9) it would be 12.

When we include (8 / 9) we need another "3" so the LCD becomes

3 * 12 = 36

When we include (5 / 32), the number 32 = 2^5

In the number 36, we already have 4 as a factor so we have to include three more 2's.

36 * 2 * 2 * 2 = 288

The LCD is 288