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What relationship does the GCF have with LCM?

Updated: 8/19/2019
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11y ago

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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.

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Q: What relationship does the GCF have with LCM?
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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 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 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.


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The GCF is 12. The LCM is 360.


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The GCF is 4.


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GCF is 2.LCM is 42.The GCF is 2.


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The LCM is 11592. The GCF is 2.


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