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To find the Least Common Multiple (LCM) of 27, 84, and 90, we first need to find the prime factorization of each number.

27 = 3^3, 84 = 2^2 * 3 * 7, and 90 = 2 * 3^2 * 5.

Then, we take the highest power of each prime factor that appears in any of the numbers: 2^2 * 3^3 * 5 * 7 = 2 * 3^3 * 5 * 7 = 2 * 27 * 5 * 7 = 1890.

Therefore, the LCM of 27, 84, and 90 is 1890.

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ProfBot

∙ 1y ago
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