  The photoproduction of large $p_{T}$ dileptons, photons and light vector
mesons in p-p, p-Pb and Pb-Pb collisions at LHC energies is studied, where the
fragmentation processes and the ultra-incoherent photon channel are included.
An exact treatment is developed for photoproduction processes in heavy ion
collisions, which recovers the equivalent photon approximation (EPA) in the
limit $Q^{2}\rightarrow0$ and can avoid double counting effectively. The full
kinematical relations are also achieved. We present the results as the
distributions in $Q^{2}$, $p_{T}$ and $y_{r}$, the total cross sections are
also estimated. The numerical results indicate that: the contribution of
photoproduction processes is evident in the large $p_{T}$ and $y_{r}$ regions,
and starts to play a fundamental role in p-Pb collisions. The ultra-incoherent
photon emission is a important channel of photoproduction processes, which can
provide the meaningful contributions. EPA is only applicable in small $y$ and
$Q^{2}$ domains, and is very sensitive to the values of $y_{\mathrm{max}}$ and
$Q^{2}_{\mathrm{max}}$. The EPA errors appear when $y>0.29$ and
$Q^{2}>0.1~\mathrm{GeV}^{2}$, and are rather serious in p-Pb and Pb-Pb
collisions. When dealing with widely kinematical regions, the exact treatment
needs to be adopted.
