Q2 of 57 Page 25

Find the HCF and LCM of the following pairs of integers and verify that HCF × LCM = Product of integers.

96 and 404


The numbers are expressed as follows:

96 = 2 × 2 × 2 × 2 × 2 × 3


404 = 2 × 2 × 101


So for finding the HCF we may write as follows:



So HCF = 4


For finding the LCM we may write as follows:



So LCM = 25 × 3 × 101


= 9696


So Product of HCM × LCM = 9696 × 4


= 38784


So product of numbers = 404 × 96


= 38784


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