What is the LCM of 30 36 and 60?

Answer 1

Prime factorization:

30 = 2 x 3 x 5

36 = 22 x 32

60 = 22 x 3 x 5

The LCM of 30, 36, and 60 is 22 x 32 x 5 = 180.

Answer 2

To find the Least Common Multiple (LCM) of 30, 36, and 60, we first need to factorize each number into its prime factors. 30 = 2 x 3 x 5, 36 = 2^2 x 3^2, and 60 = 2^2 x 3 x 5. Then, we take the highest power of each prime factor that appears in any of the factorizations: 2^2 x 3^2 x 5 = 180. Therefore, the LCM of 30, 36, and 60 is 180.