Question

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

Answer 1

What is the smallest number divisible by 3, 4, 32 and 9?
You might want to try factoring these denominators and writing them in their factored form:

3, 2^2, 2^5, 3^2

Your LCD must include the following factors:  3^2 and 2^5, or 9 and 32.  Multiplying these together results in the correct LCD 9*32=288.

Check:  Is 288 divisible by 3?  Yes.  The quotient is 96.
Is 288 divisible by 4?  Yes.  Is 288 divisible by 32?  Yes.  Is 288 divisible by 9?  Yes.