Question

Using prime factorization, find the LCM of 32,48 and 72.

with the steps ​

Answer 1

Answer:

288

Step-by-step explanation:

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Answer 2

Prime factors of 32 = 2×2×2×2×2

Prime factors of 48 = 2*2*2*2*3

Prime factors of 72 = 2*2*2*3*3

Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2

Common prime factors with the greatest exponent: 2^5

Uncommon prime factors: 3

Uncommon prime factors with the greatest exponent: 3^2

Calculate the Least Common Multiple or LCM

LCM = 2^5× 3^2 = 288

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