The LHC Higgs data are showing a gradual inclination towards the standard model (SM) result, and realization of a SM-like limit becomes essential for beyond the SM scenarios to survive. Considering the accuracy that can be achieved in future colliders, models beyond the standard model that acquire the alignment limit with a SM-like Higgs boson can surpass others in the long run. Using a convenient parametrization, we demonstrate that the alignment limit for CP-conserving three Higgs-doublet models takes on the same analytic structure as that in the case of two Higgs-doublet models. Using the example of a Z3-symmetric three Higgs-doublet model, we illustrate how such alignment conditions can be efficiently implemented for numerical analysis in a realistic scenario. © 2019 authors. Published by the American Physical Society.