The mechanical quantity, which has dimensions of reciprocal of mass (M^-1) is :

Angular momentum mvr,

$=ML{T}^{-1}L=M{L}^2{T}^{-1}$

Thermal conductivity = $\begin{array}{rl} & \frac{\mathrm{Q}}{\mathrm{t}}=\frac{\mathrm{KA}({\theta }_1-{\theta }_2)}{\mathrm{L}}\\ & \mathrm{K}=\frac{\mathrm{Q}}{\mathrm{t}}\frac{\mathrm{L}}{\mathrm{A}({\theta }_1-{\theta }_2)}=\frac{{\mathrm{ML}}^2{\mathrm{T}}^{-2}}{\mathrm{T}}\frac{\mathrm{L}}{{\mathrm{L}}^2\mathrm{K}}=ML{T}^{-3}{\mathrm{K}}^{-1}\end{array}$

Torque  $=\mathrm{rF}={\mathrm{LMLT}}^{-2}={\mathrm{ML}}^2{\mathrm{T}}^{-2}$
Gravitational constant =   $\begin{array}{rl} & F=\frac{G{m}^2}{r^2}\\ & G=\frac{F^2}{m^2}=\frac{ML{T}^{-2}{L}^2}{M^2}=M^{-1}{L}^3{T}^{-2}\end{array}$

In the dimensional formula of gravitational constant, the dimension of mass is -1.