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The LCM and HCF of 1485 and 4256 by applying the prime factorization method is:

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L.C.M = 68960 and H.C.F = 39

L.C.M = 65430 and H.C.F = 99

L.C.M = 66730 and H.C.F = 29

L.C.M = 63430 and H.C.F = 89

answer is B.

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Detailed Solution

Given 2 numbers 1485 and 4256.
Prime factorization of 1485 is,
Question Image

Prime factorization of 4356 is,
Question Image

Prime factors are,

1485 = 3 × 3 × 3 × 5 × 11 = 33 × 51 × 111

4356 = 2 × 2 × 3 × 3 × 11 × 11 = 22 × 32 × 112

The L.C.M is,

= 22 × 33 × 51 × 112

= 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11

= 65430
The H.C.F is,

= 32 × 111

= 3 × 3 × 11

= 99
Therefore, L.C.M is 65430 and H.C.F is 99.
Hence, option 2 is correct.

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