Q2 of 57 Page 25

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

336 and 54


The numbers are expressed as follows:

336 = 2 × 2 × 2 × 2 × 3 × 7


54 = 2 × 3 × 3 × 3


So for finding the HCF we may write as follows:



So HCF = 2 × 3


= 6


For finding the LCM we may write as follows:



So LCM = 24 × 33 × 7


= 3024


So Product of HCM × LCM = 3024 × 6


= 18144


So product of numbers = 54 × 336


= 18144


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