Question

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

Answer 1

The LCM is `6x^3yz`.

Explanation:

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`