  It is well known that inclusion of torsion in the gravitational formalism,
leads to four-fermion interactions. Although the coupling constant of this
interaction is strongly suppressed in four dimensions, its value is enhanced in
models with $n$ extra dimensions. In this context, we reinterpret the recent
limits established by LHC experiments to four-fermion contact interactions, to
set bounds on the size of the extra dimensions. For $n=2$, the limits are
comparable to those in the literature, while for $n\ge 3$ the volume of the
extra dimensions is strongly constrained.
