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Question

Find the LCM and HCF of 336, 54 and verify that LCM × HCF = product of the two numbers.

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Solution

336=2×2×2×2×3×7
54=2×3×3×3
HCF = 2×3=6
LCM = 2×2×2×2×3×3×3×7=3024
Product of two numbers = 336×54=18144
Product of HCF and LCM =6×3024=18144
Hence, product of two numbers =HCF×LCM.

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