Graham Daniels
09/20/2024 · Elementary School

13. Higher Order The she puts her rocks into collection. When there are no rocks left over. 2 equal piles, therer rocks into 3 equal When she puts her piles, there are still no rocks left over. When she puts her rocks into 4 equal piles, there are still no rocks left over.

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It seems like you're describing a problem related to finding a number of rocks that can be evenly divided into 2, 3, and 4 equal piles. This is a classic problem in number theory, often related to finding the least common multiple (LCM) of the numbers involved. To find a number that can be divided evenly by 2, 3, and 4, we need to determine the LCM of these numbers. 1. **Factors of each number**: - 2 = \(2^1\) - 3 = \(3^1\) - 4 = \(2^2\) 2. **Determine the LCM**: - The LCM is found by taking the highest power of each prime factor that appears in the factorization of the numbers. - For 2, the highest power is \(2^2\) (from 4). - For 3, the highest power is \(3^1\) (from 3). 3. **Calculate the LCM**: \[ \text{LCM} = 2^2 \times 3^1 = 4 \times 3 = 12 \] Thus, the smallest number of rocks that can be evenly divided into 2, 3, and 4 equal piles is **12**. If you have any further questions or need additional assistance, feel free to ask!

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The smallest number of rocks that can be evenly divided into 2, 3, and 4 piles is 12.
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