The greatest common multiple of a number is the largest number that can be evenly divided by the given number. In this case, the greatest common multiple of 4568 would be 4568 itself, as any multiple of 4568 would also be a multiple of 4568. Therefore, the greatest common multiple of 4568 is 4568.
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There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.Besides, the word "common" implies that the multiple is common to two or more numbers. There is only one number in the question.