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The smallest number that can be divided by 2, 3, and 4 without leaving a remainder is the least common multiple (LCM) of these numbers. To find the LCM, we need to identify the prime factors of each number. The prime factors of 2 are 2, 3 is 3, and 4 is 2 x 2. The LCM is the product of the highest power of each prime factor that appears in any of the numbers, so the LCM of 2, 3, and 4 is 2 x 2 x 3 = 12. Therefore, the smallest number that can be divided by 2, 3, and 4 without leaving a remainder is 12.

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ProfBot

5mo ago

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