Q3 of 57 Page 25

Find the HCF and LCM of the following integers by applying the prime factorization method.

40, 36 and 126


The numbers can be expressed as follows:

40 = 2 × 2 × 2 × 5


36 = 2 × 2 × 3 × 3


126 = 2 × 3 × 3 × 7


So for finding the HCF we may write as follows:



So HCF = 2


For finding the LCM we may write as follows:



So LCM = 23 × 32 × 5 × 7


= 2520


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