Azeotropic parameters (composition, boiling point, equilibrium pressure) were calculated in terms of the Viktorov-Smirnova lattice-hole quasi-chemical group model for binary and ternary systems in which there is no stratification of solutions formed by various components (hydrocarbons, alkanols, acetic acid, ethanoates, chloroform, acetone, pyridine, and water). Azeotropes of various kinds (positive, negative, saddle-type) were found using simple algorithms, including composition variation. Thirty binary, nine ternary, and one quaternary systems were considered. New group parameters were evaluated. The results of calculations of azeotropes were compared with published experimental data.