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How are LCM and GCF similar?

Updated: 8/20/2019
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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.

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Q: How are LCM and GCF similar?
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The GCF is 12. The LCM is 360.


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The GCF is 4.


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What is the GCF and LCM of 9xsquared y and 39xycubed?

To find the GCF of 9x^2y and 39xy^3 first look at the GCF of 9 and 39 with is 3 Now the GCF of x^2 and x is x and the GCF of y^3 and y is y so the GCF of the 9x^2y and 39xy^3 is 3xy Use a similar idea to find the LCM. The LCM of x^2 and x is x^2 and the LCM of y^3 and y is y^3, lastly, the LCM of 9 and 39 is 117 so the LCM is 117x^2y^3


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