Solve {l}{49x^{2}-121a^{2}}{144y^{2}-25x^{2}}{x^2y^2-1}{25p^10-1/2q^12}

\left. \begin{array} { l } { 49 x ^ { 2 } - 121 a ^ { 2 } } \\ { 144 y ^ { 2 } - 25 x ^ { 2 } } \\ { x ^ { 2 } y ^ { 2 } - 1 } \\ { 25 p ^ { 10 } - \frac { 1 } { 2 } q ^ { 12 } } \end{array} \right.

Least Common Multiple

-3528q^{12}\left(xy\right)^{4}-\frac{3025x^{4}\left(ay\right)^{2}q^{12}}{2}+8712y^{4}\left(ax\right)^{2}q^{12}+176400p^{10}\left(xy\right)^{4}+75625x^{4}\left(ay\right)^{2}p^{10}-435600y^{4}\left(ax\right)^{2}p^{10}+\frac{1225y^{2}x^{6}q^{12}}{2}+\frac{3025\left(ax\right)^{2}q^{12}}{2}+3528\left(xy\right)^{2}q^{12}-8712\left(ay\right)^{2}q^{12}-30625y^{2}x^{6}p^{10}+435600\left(ay\right)^{2}p^{10}-75625\left(ax\right)^{2}p^{10}-176400\left(xy\right)^{2}p^{10}-\frac{1225x^{4}q^{12}}{2}+30625x^{4}p^{10}