Q8 of 104 Page 1

Find the LCM and HCF of the following pair of integers and verify that LCM X HCF = Product of two numbers :

777 and 1147

Given numbers are 777 and 1147


The prime factorization of 777 and 1147 gives:


777 = 3 × 7 × 37 and 1147 = 31 × 37


Therefore, the H.C.F of these two integers = 37


Now, the L.C.M of 96 and 404 = 3 × 7 × 31 × 37 = 24087


Now, we have to verify



L.H.S = L.C.M × H.C.F = 24087 × 37 = 891219


R.H.S = Product of two numbers = 777 × 1147 = 891219


Hence, L.H.S = R.H.S


So, the product of two numbers is equal to the product of their HCF and LCM.


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