SOLUTION: the least no when divided by 5,6,7,8 leaves a remainder 3

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Question 761410: the least no when divided by 5,6,7,8 leaves a remainder 3
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
If the number leaves a reminder of 3 when divided by 5,6,7 and 8
Then the (number - 3) is a perfect multiple of 5,6,7 and 8.
Since the question asks for the "least number", let us get the Least Common Multiple of 5,6,7 and 8 which is 630. (I'm assuming you know how to find the LCM of a set of numbers)
So the answer is LCM + 3 which is 633.
:)