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Find the LCM of 20, 24, and 30
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(A) 120
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(B) 40
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(C) 60
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(D) 74
That's Correct!
It's Wrong!
The LCM (Least Common Multiple) is the smallest multiple that is divisible by all the given numbers. To find the LCM of 20, 24, and 30, we need to find the prime factors of each number. The prime factors of 20 are $$2^2$$ * 5, the prime factors of 24 are $$2^3$$ * 3, and the prime factors of 30 are 2 * 3 * 5. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers. Therefore, the LCM of 20, 24, and 30 is $$2^3$$ * 3 * 5 = 120.