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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46 can be divided by these numbers without leaving a remainder: 1 2 23 and 46.
1 can be divided into both numbers with no remainder
The smallest number which can be divided by both 4 and 5 without a remainder is 20. This is also known as the Least Common Multiple (LCM).
That's the definition of a multiple.
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