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The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.

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Q: Compare and Contrast Greatest common factor and Least common multiple?
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What is the greatest common multiple of 6 and 8?

Infinity.You might have meant the Greatest Common Factor, which is 2.Or perhaps the Lowest Common Multiple which is 24.The greatest common multiple is an infinite amount and not very practical for problem solving.


What is the least common multiple and the greatest common factor of 42 70 and 84?

The Least Common Multiple (LCM) for 42 70 84 is 420.The Greatest Common Factor (GCF) for 42 70 84 is 14.


What is the least common multiple of 15 and 25?

The LCM of 15 and 25 is 75. The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 15 and 25 is 5. (See related question "What is the greatest common factor of 15 and 25?" for this calculation.) So, the least common multiple is 15 x 25 ÷ 5 = 75. 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.


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 are some common multiples of 24 and 36?

The first step is to find the least common multiple of 24 and 36. The least common multiple of two numbers is to multiply them together and divide by their greatest common factor. The greatest common factor of 24 and 36 is 12, so the least common multiple is 24 x 36 ÷ 12 = 72.Next, to find common multiples 24 and 36, list the multiples of the least common multiple.72 x 1 = 7272 x 2 = 14472 x 3 = 21672 x 4 = 28872 x 5 = 360

Related questions

What is the greatest multiple common factor of 8?

The factors of 8 are 1, 2, 4, 8. The greatest multiple is infinite. You need at least one other number to compare it to to find something in common.


Compare and contrast common features of an NOS with a client OS?

Compare and contrast common features of an NOS with a client OS.


What is the greatest common multiple for 15 and 35?

There can be no greatest common multiple. If x were the greatest common multiple, then 2x would be a still greater common multiple. So x could not be the greatest. Thus there is no such thing as a greatest common multiple.


What is the greatest common multiple of 473 and 1000?

The greatest common multiple of any set of integers is infinite.


What is the greatest common multiple of 50 and 85?

The greatest common multiple of any set of integers is infinite.


What does the word contrast and compare mean?

compare means what two things have in common. contrast are the differences things have.


What is the greatest common multiple of 39 and 35?

The greatest common multiple is infinitely large, the least common multiple is 1365, the greatest common factor is 1.


What is the greatest common multiple of 4 5 and 3?

There is NO greatest common multiple. Suppose x is the greatest common multiple. Then, it is easy to show that 2x will be a common multiple and 2x > x so x cannot be the greatest.


What is the greatest common multiple of 48 and 30?

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.


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 for 70 and 21?

The greatest common multiple is infinite.


What is the greatest common multiple of 29 and 23?

The greatest common multiple of any set of integers is infinite.