Find the $L.C.M.$ of the polynomials $2x^{2}-3x-2$ and $x^{3}-4x^{2}+4x$.

The $H.C.F.$ of $(2x^2 - 4x)$,$(3x^4 - 12x^2)$,and $(2x^5 - 2x^4 - 4x^3)$ is

The $L.C.M.$ and $H.C.F.$ of two polynomials $p(x)$ and $q(x)$ are $36 x^{3}(x+a)(x^{3}-a^{3})$ and $x^{2}(x-a)$ respectively. If $p(x)=4 x^{2}(x^{2}-a^{2})$,find $q(x)$.

For what value of $a,$ the $G.C.D.$ of $x^{2}-2x-24$ and $x^{2}-ax-6$ is $(x-6)$?

If $(x-a)$ is the $G.C.D.$ of $x^{2}-x-6$ and $x^{2}+3x-18$,find the value of $a$.

Find the $G.C.D.$ of $4x^4 + y^4$,$2x^3 - xy^2 - y^3$,and $2x^2 + 2xy + y^2$.