2012 AMC 8 Problems/Problem 15
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The smallest number greater than 2 that leaves a remainder of 2 when divided by 3, 4, 5, or 6 lies between what numbers?
Solution
To find the answer to this problem, we need to find the least common multiple of , , , and add to the result. The least common multiple of the four number is , and adding , we find the number we want is . Now we need to find the range which contains . The only such range and our final answer is .
See Also
2012 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
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