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It doesn't exist. There is no multiple so great that it can't be multiplied further. The greatest common multiple of any set of integers is infinite.

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Q: Why wouldn't you be asked to find the greatest common multiple?
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Why wouldn't you be asked to find the greatest common factor?

Because no one likes a show-off.


Why would 2 be the greatest common factor in a problem?

Because the numbers being asked about are consecutive even numbers.


What is the greatest common factor of 73 and 127?

This is tricky. Once you determine that 73 is a prime number then you can ignore 127 (since 73 is not a factor of 127). So, the greatest common factor is 1. Note: if you asked 73 and 146 then the answer would be 73. Anytime one of the numbers is a prime - then the answer is EITHER 1 or the prime number (if the other number is a multiple of the prime).


What is the least common multiple of 65?

When taking the LCM you need two numbers. the first 6 multiples of 65 are 65, 130, 195, 260, 325,390 to find more multiples just multiply 65 by 7 then 8 then 9 then 10 then 11... etc... Now you asked to find the Least Common Multiple. You can not find something in common if you do not have something the compare it to.


How is common factors and greatest common factors similar and different?

They really aren't all that similar... Greastest common factor finds the greatest number that you can divide both numbers by... for example, the GCF of 15 and 20 is 5, because 15 / 3 = 5 and 20 / 4 = 5, there is no higher number for division purposes that the two share. 10 is higher than 5 in the case of 20, but you cannot divide 15 by 10 without getting a remainder of 5. Least common multiple finds the smallest common number that you can get when multiplying a number... for example, the LCM of 15 and 45 is 15 itself; 15 x 1 = 15, and 15 x 3 = 45. There is no smaller number that you can find that is common between the two. Another example, since the previous one had an LCM of an actual number being asked would be 18 and 24... in this case it would be 72 because there is no smaller number that the two share when multiplied by another value. They are somewhat similar in how you find the end value, however. By dividing the two given numbers in the case of LCM, you will eventually break them up into prime numbers. Eliminating all similar numbers and then multiplying what is left will give you the LCM. In the case of GCF, by doing the same thing minus multiplying the prime numbers, you will end up finding the greatest number that the two are divisible by.

Related questions

What is a sentence for common multiple?

Someone recently asked me a question about a common multiple.


What is the greatest common multiple of 35?

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. Furthermore, even if you had asked about the least common multiple it would not have been possible to give a sensible answer to this question. The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. You have only one number in the question!


What the greatest common factor for 3?

"Greatest Common" implies two or more numbers. The question only asked about one, the number 3, and is therefore unanswerable. The greatest factor of 3 is 3, but there is no greatest common factor of only one number.


What is the common multiple of 18?

In order to have a common multiple, you need to be talking about two or more numbers. The question only asked about one number, 18, so there is no correct answer.


Why wouldn't you be asked to find the greatest common factor?

Because no one likes a show-off.


Why would 2 be the greatest common factor in a problem?

Because the numbers being asked about are consecutive even numbers.


What is the greatest common factor of 73 and 127?

This is tricky. Once you determine that 73 is a prime number then you can ignore 127 (since 73 is not a factor of 127). So, the greatest common factor is 1. Note: if you asked 73 and 146 then the answer would be 73. Anytime one of the numbers is a prime - then the answer is EITHER 1 or the prime number (if the other number is a multiple of the prime).


What is the lowest common factor of 25 and 40?

I don't think you mean what you have asked. LOWEST goes with Common Multiple, in this case 200; HIGHEST goes with Common Factor, in this case 5


What is the least common multiple 30 of and 36?

The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.The least common multiple of 30 and 36 is 180.


What does HCF LCM mean?

HCF means Highest common factor LCM means Lowest Common Multiple If ur a girl that asked this then tell me ur buff


What materials are used ot make ammonia?

i dont actually know that is why i asked this website but it wouldnt answert he qusetion :)


What is the greatest common factor of negative 5 and negative 2?

We don't ordinarily discuss common factors of negative numbers.But you asked for it ! I'll say that positive 1is.