Question

HCF and LCM of 216 and 420 by fundamental theorem arithmetic​

Answer 1

Answer:Steps to find LCM

Find the prime factorization of 216

216 = 2 × 2 × 2 × 3 × 3 × 3

Find the prime factorization of 420

420 = 2 × 2 × 3 × 5 × 7

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

LCM = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7

LCM = 7560

The gcf of 216 and 420 is 12.

Steps to find GCF

Find the prime factorization of 216

216 = 2 × 2 × 2 × 3 × 3 × 3

Find the prime factorization of 420

420 = 2 × 2 × 3 × 5 × 7

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

GCF = 12

Step-by-step explanation:

Answer 2

Step-by-step explanation:

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