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No, 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.
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What does the term greatest common multiple mean?
The term Greatest Common Multiple has no meaning; there is no such thing as a greatest multiple. There are the terms: Lowest Common Multiple (LCM) which is the smallest positive (whole) number which is a multiple of two, or more, numbers. eg LCM(4, 10) = 20 as 20 is the first number greater than 0 which is a multiple of both 4 and 10. Highest Common Factor (HCF), or Greatest Common Factor (GCF) which is the largest positive (whole) number that divides into all the numbers (without remainder); this can also said to be the largest positive number (whole) number which has all the numbers as some multiple of it. eg HCF(25, 60) = 5 since 5 is the highest positive (whole) number which divides into 25 and 60 (without remainder). The Lowest Common Factor of any set of numbers is 1 as 1 is the smallest positive (whole) number and it divides into every other (whole) number without remainder; this is not very useful.
What are numbers with a least common multiple of 35?
None. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more whole numbers.
What is the least common multiple of 6 and 13.8?
The LCM refers to whole numbers, not decimals.
What is the least common multiple of 6.25 and 7.25?
The LCM refers to whole numbers, not decimals.
What is the lowest common factor of 3 4 and 16?
The lowest common factor (the smallest positive whole number which divides into all the numbers without any remainder) of 3, 4, 16 is 1, as it is for any set of numbers. The highest common factor (the largest positive whole number which divides into all the numbers without any remainder) is also 1. The lowest common multiple ((the smallest positive whole number into which divide all the numbers without any remainder, ie the smallest positive whole number which is a multiple of all the numbers) is 48.
