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Question
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
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Solution
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510 = 2 × 3 × 5 × 17
92 = 2 × 2 × 23
Therefore, 510 = 2 × 3 × 5 × 17 ...(A)
92 = 2 × 46
= 2 × 2 × 23 ...(B)
From (A) and (B) HCF of 510 and 92 is = 2 and their
LCM is 2 × 2 × 3 × 5 × 17 × 23 = 23460
Product of the LCM and HCF = 2 × 23460 = 46920
Product of the two numbers = 510 × 92 = 46920
Therefore, it is proved that LCM × HCF = Product of the two numbers.
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