What is the least multiple of 8 which when divided by each one of 6, 9 , 15, 18 gives remainder 4 in each case?
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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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