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Q.

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

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a

b

c

d

answer is A.

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Detailed Solution

Concept-Write both 96 and 404 as the product of prime factors. Now for HCF, let's look at the common factors that exist in the product of both numbers. Evaluate the product and get HCF. To find the LCM, write the product of the prime factors without repeating the general ones. To get the LCM now, please rate the product.

Thus, the HCF (96, 404) is 2 × 2 = 4.
As you know, the product of two integers is equal to the product of HCF and LCM.
HCF × LCM = Product of the two numbers
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Hence, the correct option is 1.

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