Question

find the LCM andHCF of 72,126 and 168 by using prime factorization method and also show that HCF×LCM is equal

Answer 1

Answer:

Step-by-step explanation:

72= 2³×3²

126=2×3²×7

168=2³×3×7

∴HCF(72,126,168)=2×3=6

∴LCM(72,126,168)=2³×3²×7=504

Now,

Product of the nos.=72×126×168=1524096

HCF×LCM=504×6= 3024

Hence, HCF × LCM≠ Product of three nos.

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