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They are are: 6 and 60

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Q: What are the two numbers that has a product of 360 and the gcf is 6?
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What is the product of the GCF and LCM of two numbers?

The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.


How do you find the LCM using GCF?

The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.


What is the LCM and gcf of 18 and 360?

Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)Here, product of 18 and 360 = 6480Now, we shall find GCF of 18 and 360 by using the method of prime factorization.Prime factorization of 18 = 2x3x3Prime factorization of 360 = 2x2x2x3x3x5It is clear from the prime factorization that gcf = 18Now using (1) we can find LCM:LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360So, LCM and GCF of 18 & 360 is 360 and 18.Also, it is important to note that 360 is divisible by 18 then GCF is 18 and LCM is 360.


What is a number that has 360 as a GCF and 12 as a LCM?

You need at least two numbers to find a GCF or an LCM and the LCM of those numbers can never be less than the GCF. 12 and 360 have a GCF of 12 and an LCM of 360. So do 60 and 72.


How do you find two numbers if HCF and LCM are known?

The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.

Related questions

The LCM of two numbers is 360.The GCF of the two numbers is 8.What are the numbers?

8 and 360


What is the product of the GCF and LCM of two numbers?

The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.


How do you find the LCM using GCF?

The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.


What is the LCM and gcf of 18 and 360?

Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)Here, product of 18 and 360 = 6480Now, we shall find GCF of 18 and 360 by using the method of prime factorization.Prime factorization of 18 = 2x3x3Prime factorization of 360 = 2x2x2x3x3x5It is clear from the prime factorization that gcf = 18Now using (1) we can find LCM:LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360So, LCM and GCF of 18 & 360 is 360 and 18.Also, it is important to note that 360 is divisible by 18 then GCF is 18 and LCM is 360.


How do you change GCF into a LCM with 3 numbers?

The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.


What is the relationship does the greatest common factor and the LCM have?

The product of the GCF and LCM is equal to the product of the original two numbers.


What is a number that has 360 as a GCF and 12 as a LCM?

You need at least two numbers to find a GCF or an LCM and the LCM of those numbers can never be less than the GCF. 12 and 360 have a GCF of 12 and an LCM of 360. So do 60 and 72.


If the LCM of two numbers is 360 and the GCF is 8 and the numbers differ by 32 what are the two numbers?

72 and 40


The LCMof the two numbers is 360.The GCF of two numbers is 8.The numbers differ by 32.What are the numbers?

40 and 72


How do you find two numbers if HCF and LCM are known?

The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.


If the GCF of two numbers is 15 and their product is 300 what is their LCM?

The general rule is that the product of the LCM and the GCF is equal to the product of the original two numbers. That would make the answer 20. Lets overlook the fact that two numbers with a GCF of 15 and an LCM of 20 don't exist.


What do LCM and GCF have in common?

They are both found from the relationships between the members of a given set of numbers. They have kind of an inverse relationship. Since the product of the LCM and GCF of two numbers is equal to the product of the original numbers, when the GCF increases, the LCM decreases and vice versa.