Q.

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


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a

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

b

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

c

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

d

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 ImagePrime factors of 8, 9, 25 are,  8=2×2×2×1=   2 3 ×1   9=3×3×1= 3 2 ×1   25=5×5×1= 5 2 ×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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