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

Step-by-step explanation:

step1:we calculate one by one prime factorisation

1. 72=2*2*2*3*3
2. 126=2*3*3*7
3. 168=2*2*2*3*7

• l.c.m=2*2*2*3*2*3*7*2*2*2*7=56448

And H.C.F will be 3 because three is common

Answer 2

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, LCM×HCF=6×504=3024

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

∴LCM×HCF≠ Product of three nos.

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