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Question

Find HCF and LCM of 336 and 54 by prime factorization and verify that?


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Solution

Step1: Find the HCF and LCM

Factors of 336 are :

336=2×2×2×2×3×7336=24×3×7

Factors of 54 are :

54=2×3×3×354=2×33

HCF of (336,54)=2×3

HCF of (336,54)=6

LCM of (336,54)=24×33×7

LCM of (336,54)=3024

Step 2: Verify the HCF and LCM

Multiples of HCF and LCM is equal to the product of two numbers.

HCF × LCM × HCF = Product of two numbers

6×3024=336×5418144=18144

Therefore LHS=RHS

Hence the HCF and LCM of 336,54 are 6 and 3024 respectively and it is verified .


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