To find the least common multiple (LCM) of 18, 24, and 30, we first need to find the prime factorization of each number.
18 = 2 * 3^2 24 = 2^3 * 3 30 = 2 * 3 * 5
Next, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3^2 * 5 = 360.
Therefore, the least common multiple of 18, 24, and 30 is 360.
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