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Question

Find the LCM and HCF of 26, 91 and verify that LCM × HCF = product of the two numbers.

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Solution

26 = 2 × 13
91 =7 × 13
HCF = 13
LCM = 2×7×13=182
Product of two numbers =26×91=2366
Product of HCF and LCM =13×182=2366
Hence, product of two numbers = HCF×LCM

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