There is really so 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.
Since 10 is a single number, you could say that it shares all of its multiples with itself. The first few multiples of 10 are: 10, 20, 30, 40, and 50
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The greatest common multiple of 10 and 18 is infinite.However, I suspect you want either:the greatest common factor of 10 and 18 which is the largest number which divides both 10 and 18 and is 2; orthe lowest common multiple of 10 and 18 which is smallest number into which both 10 and 18 divide (ie the smallest number which is a multiple of both 10 and 18) and is 90
This question does not make sense as asked.The least common multiple of 10 15 and 25 is 150.The greatest common multiple is 150 x n where n is any number you like. No matter how big you make n, there is always a bigger one. Since there can't be a greatest n, there can't be a greatest common multiple.
There can be no greatest common multiple. If x were the greatest common multiple, then 2x would be a still greater common multiple. So x could not be the greatest. Thus there is no such thing as a greatest common multiple.
The greatest common multiple of any set of integers is infinite.
The greatest common multiple of any set of integers is infinite.