The least common denominator for the fractions 1 over 3 3 over 4 5 over 32 and 8 over 9 is?

The LCD is the LCM (least common multiple) of all the denominators. The LCM of 3, 4, 32, and 9 is 288, which is the multiple of the highest power of prime factors from all of the given numbers (25 x 32 = 288). Prime factors: 3 = 3; 4 = 22; 32 = 25; 9 = 32 (highest power shown in bold type) The given fractions with an LCM would be 96/288, 216/288, 45/288, and 256/288.