Question

find the LCM and HCF of 48 and 36 and prove that HCF and LCM equals to product of the number

Answer 1

48=2×2×2×2×3
36=2×2×3×3

There is common factor of 2×2×3
Hence HCF is 12
LCM=2×2×2×2×3×3=144
48×36=1728
HCF×LCM=12×144=1728

Hence HCF×LCM=product of the numbers

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