The LCM and HCF of 8, 9 and 25 by using prime factorization method is:

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L.C.M = 1800 and H.C.F = 1

L.C.M = 1234 and H.C.F = 4

L.C.M = 1453 and H.C.F = 3

L.C.M = 1754 and H.C.F = 6

answer is A.

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Detailed Solution

Given 3 numbers 8, 9 and 25.
Prime factorization of given numbers is,
Question Image

Prime factors of 8, 9, 25 are,

8 = 2 × 2 × 2 × 1 =

23 × 1

9 = 3 × 3 × 1 = 32 × 1

25 = 5 × 5 × 1 = 52 × 1

The L.C.M of 8, 9, 25 is,

⇒ 2 × 2 × 3 × 5 × 5 ⇒ 1800

The H.C.F is 1.
Therefore, L.C.M of 8, 9, 25 is 1800 and H.C.F is 1.
Hence, option 1 is correct.

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