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

The $H.C.F.$ (Highest Common Factor) of two polynomials is $(y-7)$ and their $L.C.M.$ is $y^{3}-10y^{2}+11y+70$. If one of the polynomials is $y^{2}-5y-14$,find the other.

Find the $G.C.D.$ of $x^{2}-4$ and $x^{3}-5x+6$.

Find the $L.C.M.$ of the polynomials: $16-4x^{2}$ and $x^{2}+x-6$.

The product of two non-zero expressions is $(x+y+z) p^{3}$. If their $H.C.F.$ is $p^{2}$,their $L.C.M.$ is

Find the $G.C.D.$ of $(x+4)^{2}(x-3)^{2}$ and $(x-1)(x+4)(x-3)^{2}$.