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The LCM and HCF of 96 and 404 by applying the prime factorization method is:

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L.C.M = 9646 and H.C.F = 2

L.C.M = 9696 and H.C.F = 4

L.C.M = 9632 and H.C.F = 2

L.C.M = 9621 and H.C.F = 6

answer is B.

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Detailed Solution

Given 2 numbers 96 and 404.
Prime factorization of 96 is,
Question Image

Prime factorization of 404 is,
Question Image

Prime factors are,

96 = 2 × 2 × 2 × 2 × 2 × 3 =

25 × 31

404 = 2 × 2 × 101 = 22 × 101

L.C.M is,

= 25 × 31 × 1011

= 2 × 2 × 2 × 2 × 2 × 3 × 101

= 9696
H.C.F is,

= 22

= 4
Therefore, L.C.M is 9696 and H.C.F is 4.
Hence, option 2 is correct.

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