What is the smallest positive integer that leaves no remainder when divided by every single integer from 1 through 10?
2520
This requires the least common multiple of numbers 1 through 10: 2³ × 3² × 5 × 7 = 8 × 9 × 5 × 7 = 2520.
About this riddle
Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.
Difficulty: Medium. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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