How do i find the LCM of 6 16 38?

Answer 1

To find the Least Common Multiple (LCM) of 6, 16, and 38, you first need to find the prime factorization of each number. The prime factorization of 6 is 2 x 3, 16 is 2^4, and 38 is 2 x 19. Then, identify the highest power of each prime factor that appears in any of the numbers: 2^4, 3^1, and 19^1. Finally, multiply these prime factors together to get the LCM, which is 2^4 x 3 x 19 = 144.

Answer 2

Factor them.

2 x 3 = 6

2 x 2 x 2 x 2 = 16

2 x 19 + 38

Combine the highest amount of each factor.

2 x 2 x 2 x 2 x 3 x 19 = 912, the LCM

Answer 3

Do a Venn diagram of the prime factors of the three number and then multiply together the numbers appearing in the diagram - once for each appearance. The LCM is 912.