Question

Verify:
Product of numbers=Product of hcf and LCM
1)117 & 221

Answer 1

Dear Student,

Given numbers: 117 and 221

Product of numbers = 25857

Prime factorisation of 117 = 3 × 3 × 13
Prime factorisation of 221 = 13 × 17

∴ Required HCF of 117 and 221 = 13
∴ Required LCM of 117 and 221 = 3 × 3 × 13 × 17 = 1,989

Product of LCM and HCF = LCM × HCF = 13 × 1989 = 25857

Product of numbers = Product of LCM and HCF = 25857

Hence, verified.

Regards
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