Question

Find the LCM of the following numbers by
the prime factorisation method a) 324 and 486​

Answer 1

Answer:

Steps to find LCM

Find the prime factorization of 324

324 = 2 × 2 × 3 × 3 × 3 × 3

Find the prime factorization of 486

486 = 2 × 3 × 3 × 3 × 3 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 3 × 3 × 3 × 3 × 3

LCM = 972

Answer 2

LCM = 972

Find the prime factorization of 324

324 = 2 × 2 × 3 × 3 × 3 × 3

Find the prime factorization of 486

486 = 2 × 3 × 3 × 3 × 3 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 3 × 3 × 3 × 3 × 3

so the answer is 972