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To find the Least Common Multiple (LCM) of 15, 20, and 40, we first need to find the prime factorization of each number: 15 = 3 x 5, 20 = 2^2 x 5, and 40 = 2^3 x 5. Next, we identify the highest power of each prime factor that appears in any of the factorizations: 2^3, 3, and 5. Finally, we multiply these highest powers together to get the LCM: LCM(15, 20, 40) = 2^3 x 3 x 5 = 120.
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