In this paper, we have presented a comprehensive study of Lorentz invariance violation (LIV) in the context of the atmospheric neutrino experiment ICAL and the long-baseline experiments T2HK and DUNE. Our study consists of the full parameter space of the LIV parameters, i.e., six CPT-violating LIV parameters (aαβ) and six CPT-conserving LIV parameters (cαβ). In this study, our objective is to calculate the upper bound on all the LIV parameters with respect to the individual experiments as well as their combination. Our results show that DUNE gives the best sensitivity for the parameters aee, aeμ, aeτ, and aμτ in its 7 years of running, whereas ICAL gives the best sensitivity on aμμ, aμτ, cee, cμμ, cττ, and cμτ in its 10 years of running. For aττ, the sensitivities of DUNE and ICAL are almost same. The combination of T2HK, DUNE, and ICAL gives the best sensitivity for aeμ and aee with respect to all the existing bounds in the literature. For the CPT-even diagonal parameters cee and cμμ, our work provides the first-ever bounds.