What is the LCM of 6 24 and 32 using prime factorization?

Answer 1

lcm(6, 24, 32) = 96.

6 = 2 x 3

24 = 2^3 x 3

32 = 2^5

lcm = 2^5 x 3 = 96

Each number is represented in its prime factorization in power format. The LCM is then calculated as the product of each prime to its highest power across all the factorizations.

Answer 2

Alright, darling, let's get down to business. First, we break down each number into its prime factors: 6 = 2 x 3, 24 = 2^3 x 3, and 32 = 2^5. Then, we take the highest power of each prime factor that appears in any of the numbers: 2^5 x 3 = 96. So, the LCM of 6, 24, and 32 using prime factorization is 96. Hope that clears things up for you, sugar!

Answer 3

2 x 3 = 6

2 x 2 x 2 x 3 = 24

2 x 2 x 2 x 2 x 2 = 32

2 x 2 x 2 x 2 x 2 x 3 = 96, the LCM

Answer 4

624 = 2*2*2*2*3*1332= 2*2*2*2*2

So, LCM(624, 32) = 2*2*2*2*2*3*13 = 1248.