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Which two numbers will have a greater greatest common factor than the least common multiple?
There cannot be any such numbers.
Suppose you have the numbers X and Y, and without loss of generality, assume that X ≤ Y.
Then GCF(X, Y) is a factor of X and of Y. Therefore, GCF ≤ X which is ≤ Y
also
LCM(X, Y) is a multiple of X and of Y. Therefore, LCM ≥ Y which is ≥ X
Combining the inequalities gives
GCF ≤ X ≤ Y ≤ LCM and so GCF ≤ LCM.
That is, the GCF cannot possibly be greater than LCM.
What else can I help you with?
What is the greatest common multiple of 7?
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 ...
What is the greatest common multiple of 3 and 5?
There is no greatest common multiples for whatever common multiple is claimed to be the greatest the lowest common multiple of the numbers (in this case 15) can be added to get an even greater common multiple.
Is it true that when one number is multiple of another the greatest common factor of the numbers is greater of the numbers?
No, the lesser.
What is the greatest common multiple of 24 and 52?
There is no greatest common multiple of any integers as whatever number is said to be it, the lowest common multiple of the numbers can be added to get an even greater common multiple. If you mean least common multiple (the lowest (positive) integer that can be divided by the numbers without a remainder), the answer is 312. If you mean the greatest common factor (the greatest (positive) integer that can divide into the numbers without any remainder). the answer is 4.
Can two even numbers have a greatest common multiple of 1?
The greatest common multiple of any set of numbers is infinite. The greatest common multiple of any set of numbers will never be one.
What is the greatest common multiple of 36 60?
The greatest common multiple of any set of integers is infinite.
Can you find the greatest common multiple of two numbers?
The greatest common multiple of any two numbers is infinite.
When is the product of two numbers divided by the greatest common multiple the least common multiple?
Never. The greatest common multiple of any two numbers is infinite.
What is the greatest common multiple of 16 and 24?
There is no greatest common multiple. Ever! If x were the greatest common multiple, then what about 2x? Since x is a multiple of 16 and 24 then so also is 2x, so that 2x is a COMMON multiple. And it would certainly be greater that x. So 2x is a common multiple that is greater than the greatest common multiple. What?!
What are two numbers that have 5 as their greatest common multiple?
There are no such numbers because there is really no such thing as a "greatest common multiple". If the numbers have 5 as a common multiple then 10 will also be a common multiple and clearly, 10 is greater than 5. So 5 cannot be the greatest common multiple. In fact, 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.
What is the the greatest common multiple of any two numbers?
There is no "greatest common multiple" of any two numbers. Whatever their product is, it can be multiplied by any positive integer to yield an even greater number that is also a multiple of the first two. Thus, the number of multiples is infinite.
What is the greatest common multiple for 3618?
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.
