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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.
Wiki User
∙ 8y ago
Wiki User
∙ 7y agoThe greatest common multiple of any set of integers is infinite.
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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 6.25 and 7.25?
The LCM refers to whole numbers, not decimals.
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 15?
At least two numbers must be given to have a lowest common multiple. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more given whole numbers.
If the greatest common factor of two whole numbers is 1 what is the least common multiple of the numbers?
The LCM of the two numbers will be their product.
List all greatest common multiples of 98?
You need to have 2 numbers to work out the common multiples...The whole idea of common multiples is that they are multiples which both numbers share (or have in common).Also, the GREATEST multiple of anything is infinity
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 pairs of whole numbers whose Leaqst common multiple is 120 and whose Greatest common factor is 4?
4/120, 8/60
Why do you have greatest common factor and not least common factor?
The least (meaning lowest) common factor of any set of whole numbers is always 1. The greatest common factor of any set of whole numbers will depend on the factors of the individual whole numbers in the set.
Do two whole numbers always have a least common multiple?
Yes. If A and B are any two whole numbers then A*B is a common multiple. Then either A*B is the least common multiple of A and B or one of its factors is.
What is the least common multiple for the numbers 10?
None. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more whole numbers.
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 greatest common factor of 1500?
You must have at least two whole numbers to determine a greatest common factor.
Is the product of two whole numbers always a common multiple of he numbers?
yes
What is the greatest common factor of 3066?
You must have at least two whole numbers to determine a greatest common factor.
What is the greatest common factor to 5727?
You must have at least two whole numbers to determine a greatest common factor.
