What Is The Lcd For The Fractions 1/3 3/4 5/32 And 8/9?

The denominators are
3, which is prime = 3¹
4, which has prime factors 2*2 = 2²
32, which has prime factors 2*2*2*2*2 = 2⁵
9, which has prime factors 3*3 = 3²

The lowest common denominator will have each of the different prime factors at its greatest multiplicity. LCD = 2⁵*3² = 32*9 = 288

1/3 = 96/288
3/4 = 216/288
5/32 = 45/288
8/9 = 256/288

5/8  2/5