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.
The first few common multiples of 30 and 105 are: 210, 420, 630, 840, and 1050.
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There can never be a greatest common multiple. If a number, X, is claimed as the greatest common multiple, the 2X is a common multiple, and it is greater than X which contradicts X being the greatest.
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The least common multiple is 30. The greatest common factor is 3.
The least common multiple of the numbers 48 and 30 is 240 and the GCF is 6.