We have investigated real graviton emission in the Arkani-Hamed-Dimopoulos--Dvali (ADD) and Randall-Sundrum (RS) models of extra dimensions through the photoproduction process $pp\ensuremath{\rightarrow}p\ensuremath{\gamma}p\ensuremath{\rightarrow}pGqX$ at the LHC. We have considered all contributions from the subprocesses $\ensuremath{\gamma}q\ensuremath{\rightarrow}Gq$, where $q=u,d,c,s,b,\overline{u},\overline{d},\overline{c},\overline{s},\overline{b}$ quark. The constraints on model parameters of the ADD and RS models of extra dimensions have been calculated. During numerical calculations we have taken into account 3, 4, 5, and 6 large extradimensional scenarios. The constraints on RS model parameters have been calculated by considering $G\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}$, $e\overline{e}$, $\ensuremath{\mu}\overline{\ensuremath{\mu}}$ decay channels of the graviton.