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What is the least common multiple of 2 coprime numbers?
The least common multiple of two numbers is the product of those two numbers divided by their greatest common factor. It the two numbers are coprime (or relatively prime), their greatest common factor is 1. Therefore, their least common multiple is a x b ÷ GCF (of a and b) = a x b ÷ 1 = a x b. The least common multiple of two coprime numbers is the numbers multiplied together.
What is the product of the greatest common factor and least common multiple mean?
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. The product of those two numbers is the answer when they are multiplied together.
How do you find the greatest common factor of 45 using prime factorization?
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.
Is the greatest common factor of 11?
The greatest common factor of 11 is 11 itself. This is because the only whole numbers that can be multiplied in order to come up with the number 11 are 1 and 11.
What if there is no LCM in a fraction problem?
There is always going to be a LCM. Just multiply the two numbers together to get the a common multiple if you cant find one because the two numbers multiplied together is a common multiple.
What is the greatest common factor of 6 8 12?
I love math! It's 2, because its the highest number that can be multiplied into those numbers.
what is the largest factor that two numbers share is called?
The greatest common factor (GCF) of two (or more) numbers is the greatest factor that divides two numbers. To find the GCF you must work out and list the prime factors of each of the numbers. You will see that the numbers have prime factors in common. Multiply those factors the numbers have in common together and this gives you the GCF for the numbers. eg Number A = 18, Prime factors = 2*3*3 Number B = 24, Prime factors = 2*2*2*3 The Prime factors that A and B have in common are 2 and 3 Multiply them together = 6 6= the GCF of 18 and 24
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.
How do you find the greatest common factor of 30135 using prime factorization?
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factorization of 30135 is 3 x 5 x 7 x 7 x 41. The prime factorization of 98 is 2 x 7 x 7. The prime factors they have in common are 7 and 7, so the greatest common factor is 7 x 7 = 49.
How do you solve greatest common divisor?
1. Reduce all numbers to prime factors 2. Find primes that are common in all numbers 3. Multiply the common primes together
What is the prime factorization and the greatest common factor of 2456?
The prime factorization of 2456 is 2 x 2 x 2 x 307. There is not a greatest common factor. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Examples: The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factors it has in common with 2456 are 2 and 2, so the greatest common factor is 2 x 2 = 4. The prime factorization of 921 is 3 x 307. The prime factors that it has in common with 2456 is 307, so the greatest common factor is 307.
The greatest factor that two or more numbers have common is the greatest common factor or what?
The greatest factor that two or more numbers have in common is known as the greatest common factor, or GCF.
