What is the least common multiple of 21 42 and 56?

Answer 1

To find the least common multiple (LCM) of 21, 42, and 56, first find the prime factorization of each number.

21 = 3 x 7 42 = 2 x 3 x 7 56 = 2 x 2 x 2 x 7

Then, identify the highest power of each prime factor that appears in any of the factorizations.

LCM = 2^3 x 3 x 7 = 56 x 3 x 7 = 1176

Therefore, the least common multiple of 21, 42, and 56 is 1176.

Answer 2

LCM(21, 42, 56) = 168.

Answer 3

168