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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 is the greatest common multiple of 3474and 26?
There is no greatest common multiple - whatever common multiple you come up with as the greatest one I can add their lowest common multiple (45162) and get an even higher multiple. There is a greatest common factor, which for 3474 and 26 is 2.
What is the greatest common multiple of 36 and 72?
There is no greatest common multiple. Whatever value you may come up with, I can always add their lowest common multiple (72) to get a higher common multiple.
Why do we not talk about a greatest common multiple?
Because a greatest common multiple would (in theory) be infinity. The multiples would simply keep going up and up and up forever.
What is the greatest common multiple of 72 and 180?
There is no greatest common multiple of two (or more) numbers: whatever number you come up with as the greatest common multiple I can always add their lowest common multiple to get an even higher common multiple. If you meant the LOWEST common multiple (the least number that both divide into with a remainder) then lcm(72, 180) = 360. If you meant the greatest common FACTOR (the greatest number that divides into both), then gcf(72, 180) = 36.
What is the greatest common multiple of 7 and 56?
56 is a multiple of 7, and 56 is also a multiple of itself, so 56 isthe least common multiple of both numbers.There is no greatest common multiple. Whatever multiple you name,no matter how large it is, I can always add 56 to it and come up witha larger one.
What is the greatest common multiple of 85 and 51?
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.
What is the greatest common multiple of 30 40 and 50 up to 1000?
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.
What does greatest common multiple mean?
A multiple of a number x is xy where y is any integer. For example, multiples of 3 include 12 (3x4) 15 (3x5) and 36 (3x12) A common multiple of x and z is any number that can be expressed as a multiple of x or z. For instance 36 is a common multiple of 3 and 4, as it is a multiple of both. The term "greatest" means the highest valued number. For instance, the greatest out of 4, 68 and 20 is 68. It makes no sense to speak of a "greatest common multiple" as common multiples will go up to infinity. If I have a common multiple m, then 2m, 3m, 4m and so on will also be common multiples.
What is the greatest common multiple of 3 5 and 8?
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 3, 5, and 8 are: 120, 240, 360, 480, and 600.
What is the greatest common multiple of 60 and 36?
The greatest common multiple of 36 and 60 is the largest number divisible by both 36 & 60 and is infinite; there is no greatest common multiple - what ever multiple you come up with as the greatest I can always add 2160 and get an even larger multiple of 36 & 60.I suspect you meant:What is the greatest common factor of 36 and 60?This is the largest number that is a factor of (that is divides exactly into) both 36 and 60; it is 12 36 = 22 x 3260 = 22 x 3 x 5gcf = 22 x 3 = 12orWhat is the lowest common multiple of 36 and 60?This is the smallest number that 36 and 60 both divide into; it is 180 36 = 22 x 3260 = 22 x 3 x 5lcm = 22 x 32 x 5 = 180
What is the highest common multiple of 8 and 12?
To find the greatest common factor and lowest common multiple of two numbers, you first need to split those numbers up into their prime factors. In this case: 8 = 2x2x2 12 = 2x2x3 The next step is to identify any common factors. In this case the common factors are two 2s. To find the greatest common factor, you multiply these together: 2x2 = 4. A quick way to find the lowest common multiple is to multiply the two original numbers together and divide by the greatest common factor. So 8x12/4 = 24. Thus 24 is the lowest common multiple.
What is the highest common multiple of 24 and 40?
There is no highest common multiple. Whatever common multiple you come up with as being their highest common multiple, I can always add their lowest common multiple (120) to get a higher common multiple.
