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The greatest common FACTOR of 90 and 108 is 18. The LEAST common multiple is 540. There can be no greatest common multiple since double that number will be a greater common multiple.
yes a multiple is the answer of the number multiplied by a whole number
LCM(48, 72, 96) = 288 There is no GCM because any multiple of 288 is a common multiple. If any number lays claim to being a GCM, then that number+288 will also be a common multiple and will be greater. And 288 more will be greater still. And so on.
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.
Not necessarily. A number is also a multiple of itself.
There is NO greatest common multiple because I can always add another lowest common multiple and get an ever greater number that is a common multiple.
The LCM is the greater number.
The greatest common FACTOR of 90 and 108 is 18. The LEAST common multiple is 540. There can be no greatest common multiple since double that number will be a greater common multiple.
There can never be a greatest common multiple of one number for two reasons:"Common" refers to a multiple that is common to two or more numbers. You cannot have a multiple that is common, but only to one number.If X is the greatest common multiple of a set of numbers, then any multiple of X will also be a common multiple of each member of the set and it will be greater than X. And then, any multiple of this number will be a multiple of each member of the set and will be greater still. And then ...
This is the lowest common multiple which is the smallest number greater than 0 which is a multiple of all the numbers. for example the lowest common multiple (lcm) of 4 and 6 is 12 as 12 is the first (smallest) number greater than 0 that is a multiple of both 4 and 6.
There is no greatest common multiple as whatever number is claimed to be the greatest, the lowest common multiple of them (216) can be added to get an even greater common multiple.
The other number.
There can be no greatest common multiple. If there was one, the number twice as large would also be a common multiple and clearly would be greater.
Short answer: There is not one. You could say that the greatest common multiple is infinity since there are an infinite number of common multiples. If you give a specific number as the greatest common multiple, then no matter how great it is, I can always make a greater common multiple by adding 350 to yours.
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.
When one of the numbers is a multiple of the other, the greater is the LCM and the lesser is the GCF of that set.
If it's a whole-number "multiple" and the number itself is positive,then the multiple is always greater than the number itself.