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[Solved] H.C.F and L.C.M

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The least multiple of 7, which leaves a remainder of 4, when divided by 6,9,15 and 18 is:

A) 74    B) 94    C) 184    D) 364

1 Answer
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Topic starter

L.C.M. of 6, 9, 15 and 18 is 90. 

Let required number be 90k + 4, which is multiple of 7. 

Least value of k for which (90k + 4) is divisible by 7 is k=4. 

Required number = (90 x 4) + 4 = 364.

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