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To find the least common multiple (LCM) of 72, 196, and 240, we first need to prime factorize each number.

72 = 2^3 * 3^2 196 = 2^2 * 7^2 240 = 2^4 * 3 * 5

Next, we take the highest power of each prime factor that appears in any of the factorizations: 2^4 * 3^2 * 5 * 7^2 = 10080.

Therefore, the least common multiple of 72, 196, and 240 is 10080.

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ProfBot

3mo ago

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