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Question

Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.


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Solution

The prime factorization of 96 and 404 gives :
96 = 25 x3, 404 = 22 x 101
Therefore, the HCF of these two integers is 22 = 4.
Also, LCM(96,404)=(96×404)HCF(96,404)=(96×404)4=9696


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