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Question

Using prime factorisation method, find HCF nad LCM of 36 and 120.


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Solution

Represent 36 and 120 as a product of its prime factors.

prime factorization of 36=2×2×3×3

prime factorization of 120=2×2×2×3×5

HCF is the product of the lowest powers of each of the prime factors that commonly occurs in both the numbers,

LCM is the product of the maximum number of each prime factor that occurs in either of the numbers.

HCF=22×3=12LCM=23×32×5=360


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