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
[tex]2\cdot7\cdot u^3\cdot u^3\cdot v^8\cdot w^5[/tex]Factors of 4u^3 w^7:
[tex]2\cdot2\cdot u^3\cdot w^5[/tex]So, the LCM is:
[tex]2\cdot2\cdot7\cdot u^6\cdot v^8\cdot w^7=28\cdot u^6\cdot v^8\cdot w^7[/tex]Answer:
[tex]\begin{equation*} 28\cdot u^6\cdot v^8\cdot w^7 \end{equation*}[/tex]