The study of particle production inside jets makes it possible to address the fragmentation properties of the leading parton depending on its flavour. We study the spectra of K, p and π production in minimum bias (inelastic, non- diffractive), two- and three-jet events at RHIC, Tevatron and LHC energies. To address the properties of quark and gluon jets, different production channels are investigated. We present MC estimate for the contribution of quark and gluon jets to individual hadron spectra, that can be compared to experimental results and test our current knowledge of the physics behind particle production inside jets. Where possible, we cross-check our results with existing data and further extend the study to higher energies.