Question

Find the least common multiple of these two expressions.14u^6 v^8 w^5 and 4u^3 w^7

Answer 1

To find LCM of 14u^6 v^8 w^5 and 4u^3 w^7, we have:

Factors of 14u^6 v^8 w^5

`2\cdot7\cdot u^3\cdot u^3\cdot v^8\cdot w^5`

Factors of 4u^3 w^7:

`2\cdot2\cdot u^3\cdot w^5`

So, the LCM is:

`2\cdot2\cdot7\cdot u^6\cdot v^8\cdot w^7=28\cdot u^6\cdot v^8\cdot w^7`

Answer:

`\begin{equation*} 28\cdot u^6\cdot v^8\cdot w^7 \end{equation*}`