SOLUTION: A bag contains 100 marbles. The marbles can be divided into equal shares among 6,7 or 8 children with 1 marble left over each time. What is the least number of marbles that the box
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Question 56530: A bag contains 100 marbles. The marbles can be divided into equal shares among 6,7 or 8 children with 1 marble left over each time. What is the least number of marbles that the box can contain?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
A bag contains 100 marbles. The marbles can be divided into equal shares among 6,7 or 8 children with 1 marble left over each time. What is the least number of marbles that the box can contain?
LET NUMBER OF MARBLES = N
SINCE N LEAVES THE SAME REMAINDER OF 1 WHEN DIVIDED WITH 6,7,8...FIND LCM OF 6,7&8 AND ADD 1 TO IT TO GET MINIMUM VALUE FOR N
2|6,7,8
-------------
3,7,4
SO LCM = 2*3*7*4 = 168
N = 168+1 = 169 IS THE MINIMUM NUMBER OF MARBLES NEEDED.
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