The denominators are

3, which is prime = 3

4, which has prime factors 2*2 = 2

32, which has prime factors 2*2*2*2*2 = 2

9, which has prime factors 3*3 = 3

The lowest common denominator will have each of the different prime factors at its greatest multiplicity. LCD = 2

1/3 = 96/288

3/4 = 216/288

5/32 = 45/288

8/9 = 256/288

3, which is prime = 3

^{1}4, which has prime factors 2*2 = 2

^{2}32, which has prime factors 2*2*2*2*2 = 2

^{5}9, which has prime factors 3*3 = 3

^{2}The lowest common denominator will have each of the different prime factors at its greatest multiplicity. LCD = 2

^{5}*3^{2}= 32*9 = 2881/3 = 96/288

3/4 = 216/288

5/32 = 45/288

8/9 = 256/288