  In this work, we aim to provide a comprehensive and largely model independent
investigation on prospects to detect long-lived multiply charged particles at
the LHC. We consider particles with spin 0 and $\frac{1}{2}$, with electric
charges in range $1 \le |Q/e| \le 8$, which are singlet or triplet under
$SU(3)_C$. Such particles might be produced as particle-antiparticle pairs and
propagate through detectors, or form a positronium(quarkonium)-like bound
state. We consider both possibilities and estimate lower mass bounds on new
particles, that can be provided by ATLAS, CMS and MoEDAL experiments at the end
of Run 3 and HL-LHC data taking periods. We find out that the sensitivities of
ATLAS and CMS are generally stronger than those of MoEDAL at Run 3, while they
may be competitive at HL-LHC for $3 \lesssim |Q/e| \lesssim 7$ for all types of
long-lived particles we consider.
