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

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โˆ™ 2015-11-26 03:34:33
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Q: What is the product of the GCF and LCM of two numbers?
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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.


How do you compare the product of the GCF and the LCM?

The product of the GCF and LCM of two numbers is the same as the product of the numbers.


What is a relationship between the LCM and GCF of two numbers?

The product of the LCM and GCF of two numbers equals the product of the two numbers.


Is there a relationship between GCF and LCM?

The product of the GCF and LCM of two numbers is the same as the product of the two numbers.


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 of the product to the product of gcf and LCM?

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


What is the relation between HCF and LCM?

Since the product of two numbers is equal to the product of their GCF and LCM, the GCF of two numbers is equal to their product divided by their LCM and their LCM is equal to their product divided by their GCF.


How do you find GCF knowing LCM?

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


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.


What do GCF and LCM have in common?

They have an inverse relationship. Since the product of the LCM and GCF of two numbers equals the product of the original two numbers, as the GCF increases, the LCM decreases and vice versa.


What is a simalaritie between GCF and LCM?

They have an inverse relationship. Since the product of the LCM and GCF of two numbers equals the product of the original two numbers, as the GCF increases, the LCM decreases and vice versa.


How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.


How do you check lcm answer?

One way to check: The product of the original two numbers is equal to the product of their GCF and LCM. If you divide that product by their GCF, you will get the 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 is the Multiplication of HCF and LCM of two number?

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


How can you tell if the least common multiple of two numbers is less than or equal to the product of the numbers?

If the GCF of the two numbers is 1, the LCM will be their product. IF the GCF is greater than one, the LCM will be less than the product.


The product of two numbers is 180 The LCM of the two numbers is 60 What is the GCF of the numbers?

3


What is the greatest common factor when LCM of two numbers is the product of two numbers?

The LCM is the product of the two numbers if and only if the two numbers are co-prime. That they are co-prime means they have no factors in common so that their GCF is 1.


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 the relationship between HCF and LCM?

It's kind of an inverse relationship. The product of the GCF and LCM of two numbers is the same as the product of the original two numbers, so as the GCF increases, the LCM decreases and vice versa. LCM is divisable by HCF.


Gcf of two numbers is 16 and their product is 3072. What is the LCM of these numbers?

LCM = Product/HCF = 3072/16 = 192


When is the LCM not the product of the two numbers?

When their GCF is greater than one.


What is the LCM of two numbers if their GCF is 5 and their product is 1296?

As a general principle, you can find the LCM of two numbers by dividing their product by their GCF. This one won't work. The product of any two numbers with 5 as a common factor would have to end in 5 or 0.


How do you find the LCM and GCF of two prime numbers?

The GCF of any two prime numbers is 1 and the LCM is their product.


What is the connection between a common factor and the common multiples of two numbers?

The product of the GCF and LCM of two numbers will equal the product of the two numbers.

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