Question

find LCM and HCF of 64 and 96 by phime factorization method​

Answer 1

Step-by-step explanation:

Steps to find LCM

Find the prime factorization of 64

64 = 2 × 2 × 2 × 2 × 2 × 2

Find the prime factorization of 96

96 = 2 × 2 × 2 × 2 × 2 × 3

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

LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3

LCM = 192

steps to fing hcf

Find the prime factorization of 64

64 = 2 × 2 × 2 × 2 × 2 × 2

Find the prime factorization of 96

96 = 2 × 2 × 2 × 2 × 2 × 3

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

Therefore, GCF = 2 × 2 × 2 × 2 × 2

GCF = 32

Answer 2

Answer:

192 & 32

Step-by-step explanation:

Find the prime factorization of 64

64 = 2 × 2 × 2 × 2 × 2 × 2

Find the prime factorization of 96

96 = 2 × 2 × 2 × 2 × 2 × 3

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

LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3

LCM = 192.

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

Therefore, GCF = 2 × 2 × 2 × 2 × 2

= 32

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