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Question
what is the sum of digits of the least number which when divided by 15 18 24 leaves a remainder 8 in each case and also divided by 13
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Answer
LCM of 15,18, 24 = 360
So the number is of the form 360k+8
This number is also divisible by 13.
When k=1 i.e. 368 is not divisible by 13
When k=2 i.e. 728 is divisible by 13.
Hence 728 is the answer!
