Question

Find the least common multiple of these two expressions. 12x^2w^6v^8 and 8x^5w^3

Answer 1

Given

`12x^2w^6v^8\text{ }and\text{ }8x^5w^3`

To find:

The Least Common Multiple of the above expressions.

Step-by-step explanation:

It is given that,

`12x^2w^6v^8\text{ }and\text{ }8x^5w^3`

That implies,

`\begin{gathered} 12x^2w^6v^8=4\cdot3\cdot x^2\cdot w^3\cdot w^3\cdot v^8 \\ 8x^5w^3=4\cdot2\cdot x^2\cdot x^3\cdot w^3 \\ \therefore LCM=4\cdot3\cdot2\cdot x^2\cdot x^3\cdot w^3\cdot w^3\cdot v^8 \\ =24x^5w^6v^8 \end{gathered}`

Hence, the Least Common Multiple of the given expressions is,

`LCM=24x^5w^6v^8`