Question

there are two number 72 and 96 find their HCF and LCM and verify that 72*96=HCF of 72 and 96*LCM of 72 and 96​

Answer 1

Answer:

72 = 2×2×2×3×3 = 2³×3²

96 = 2×2×2×2×2×3 = 2^5×3¹

HCF = 2³×3¹ = 8×3 = 24

LCM = 2^5 × 3² = 32×9 = 288

now,

verification:

72×96 = HCF × LCM

or, 6912 = 24×288

or, 6912 = 6912

or, LHS = RHS

ans.

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Answer 2

Answer:

LCM=24

HCF=288

thank you