find the least common multiple (LCM) to determine the least common denominator for 2/3, 5/6, and 9/4

The LCM is 12 so the denominator for all of the fractions would be 12

LCM = 12

Step-by-step explanation:

First, we find the prime factorizations of the numbers.

3 = 3

6 = 2 * 3

4 = 2^2

For the LCM, we choose common and not common factors with the larger exponent.

We need 2^2 and 3.

LCM = 2^4 * 3 = 4 * 3 = 12