This paper provides a general analytical solution for the full stoichiometry based discrete lumped kinetic model. The reduced stoichiometry and carbon number basis are the subset of the full stoichiometry model. The exponential form of stoichiometric kernels is considered to Study the product distribution for the full and reduced stoichiometry models. Here, full stoichiometry favors for the formation of heavier lumps, while the reduced stoichiometry favors for the formation of lighter lumps. The exact Solution for the discrete lumped model is validated with the experimental data cited in the literature. The model validation reveals that the full stoichiometry is the best performing model for hydrocracking of heavier petroleum fractions.