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Question

Find the L.C.M. and H.C.F. of 26 and 91 and verify that L.C.M. × H.C.F.=product of two numbers .

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Solution

Given 2 numbers are 26 and 91
Prime factors of 26=13×2
Prime factors of 91=13×7
So from the prime factors LCM=13×2×7=182HCF=13
Product of the numbers =26×912366
Product of LCM and HCF =182×132366
LHS=RHS
Hence proved


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