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The smallest multiple of 5, 6, and 10 is their least common multiple (LCM). To find the LCM, we can determine the prime factorization of each number: 5 (5), 6 (2 × 3), and 10 (2 × 5). The LCM is found by taking the highest powers of all prime factors, which gives us 30. Therefore, the smallest multiple of 5, 6, and 10 is 30.

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