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### What is the relationship of the product to the product of gcf and LCM

#### por Verlene New (2019-08-13)

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

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.

What relationship does the GCF have with LCM?
It's kind of inverse. The product of the GCF and LCM of a pair of numbers will equal the product of the original 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.

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.

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.

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 do LCM and 휴대폰소액결제현금화 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.

Why is it that the LCM and the GFC seem to be opposites of the same thing?
Very astute. The LCM and the GCF have an inverse relationship. Since their product equals the product of the original two numbers, the larger the GCF gets, the smaller the LCM is and vice versa.

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 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.

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 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 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 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.

How do you find the other number when the one number is given with the LCM and the GCF?
The product of the original numbers is equal to the product of the GCF and LCM. Divide the product of the LCM and GCF by the one number. The answer will be the other.

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.

What is the GCF and LCM of 13 and 79?
The LCM is their product. The GCF is 1.

What is the LCM and the GCF of 37 and 12?
The LCM is their product. The GCF is 1.

What is the GCF and LCM of 27 and 16?
The GCF is 1. The LCM is their product.

Could you divide the product by the GCF to find the LCM?
Yes, you could divide the product by the GCF to find the LCM

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.

Why does dividing the product by the GCF always give you the LCM?
In number theory, the product of two positive integers will equal the product of their GCF and LCM. Dividing that product by one of them will give you the other.

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 LCM of 6 and 16 using the gcf?
The GCF of 6 and 16 is 2. The LCM is the product of 6 and 16 (96) divided by the GCF (2) The LCM is 48.

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 is the LCM of 2 number that have on GCF then 1 give an example?
The LCM is their product. The GCF of 4 and 9 is 1. The LCM of 4 and 9 is 36.

What is the product of the GCF and LCM of 4 and 6?
2 x 12 = 24, but there's an easier way if you remember that the product of the GCF and LCM of a pair of numbers will always be equal to the product of the two numbers.

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 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.

How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?
If the GCF is 1, the LCM is the product. If the GCF is more than 1, the LCM is less than the product.

What is the product of GCF and LCM of 4 and 6?
gcf of 4 and 6 is 2 lcm of 4 and 6 is 12 Hence product of the two is 2 x 12 = 24

Given a pair of numbers how can you tell whether their least common multiple will be less than or equal to their product?
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM will be less than their product.

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.

What is the product of the GCF and the LCM of 32 and 48?
The same as the product of 32 and 48.

What is the LCM of 2 consecutive even numbers?
Their GCF will be 2. Their LCM will be half their product.

What is the LCM of 16807 and 6782230722849?
Since they are relatively prime, (their GCF is 1) the LCM is their product.

When is the LCM of two numbers is their product?
When their GCF is 1.

What is the product of the gcf and the LCM of 52 and 195?
GCF(52, 195) = 13

What is the GCF of 16 and 23?
The GCF of 16 and 23 is 1. The LCM is their product: 368.

Why is the least common multiple of 2 prime numbers their product?
Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the product.

How can you know the numbers from their LCM and GCF?
The above is completely true. However, factoring problems in textbooks are usually arranged to have one correct answer. The thing these sorts of problems want you to remember is that the product of the GCF and the LCM of a pair of numbers is the same as the product of the numbers. If you are given the GCF and LCM of a pair of numbers, multiply them together. The numbers will be another factor pair...

Why is the product of the LCM and HCF the same as the product of the original pair of numbers?
It's the way numbers work. Consider 32 and 33. Consecutive integers are relatively prime, that is, their GCF is 1. If two numbers have a GCF of 1, the LCM will be their product. 32 x 33 = 1056 1 (GCF) x 1056 (LCM) = 1056 2 x 528 = 1056 3 x 352 = 1056 4 x 264 = 1056 Notice the pattern. As the GCF increases, the LCM decreases. Consider 32 and 34...

What is the Lcm of to number that have a common number?
Their product divided by their GCF.

For a given pair of numbers how can you tell whether the least common multiple will be less than or equal to their product?
If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.

How do you find HCF if Lcm is 108?
Divide the product of the original numbers by 108, the LCM. The result will be the GCF.

Why is the LCM also the product of a pair?
Sometimes it is, sometimes it isn't. If the two numbers have a GCF of 1, they are co-prime or relatively prime and their LCM will be their product.

When is the LCM not the product of the two numbers?
When their GCF is greater than one.

What is the product of two numbers is 2700 their GCF is 15 what is the LCM?
180

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.

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