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What is the least common multiple of #18x^3y^2z, 30x^3yz^2#?

Answer 1

The LCM is #6x^3yz#.

The LCM between 18 and 30 is 6. Divide 6 into both of them to get 3 and 5. These cannot be reduced further, so we are sure that 6 is the LCM.

The LCM between #x^3# and #x^3# is #x^3#, so dividing both terms by #x^3# gives us 1.

The LCM between #y^2# and #y# is just y, since it is the lowest term that appears in both.

Similarly, with #z^2# and #z#, it is just z.

Put all of these together to get #6x^3yz#

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Answer 2

Avery Alexander

The least common multiple of 18x^3y^2z and 30x^3yz^2 is 90x^3y^2z^2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.