SOLUTION: The children in a kindergarten were separated into groups of 5 or 8. If the total number of children was less than 165, what is the greatest possible number of children in the kind

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Question 1107248: The children in a kindergarten were separated into groups of 5 or 8. If the total number of children was less than 165, what is the greatest possible number of children in the kindergarten?
Answer by greenestamps(13203) About Me  (Show Source):
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If the children can be separated evenly into groups of either 5 or 8, then the number of children must be a multiple of both 5 and 8.

That means the number of children must be a multiple of the least common multiple (LCM) of 5 and 8, which is 40.

The largest multiple of 40 less than 165 is 160.

The largest possible number of children is 160.