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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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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
