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To find the least common multiple (LCM) of 3, 8, and 12, we first need to find the prime factorization of each number. The prime factorization of 3 is 3, 8 is 2 x 2 x 2, and 12 is 2 x 2 x 3. To calculate the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^3 x 3 = 24. Therefore, the least common multiple of 3, 8, and 12 is 24.
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