Short range correlations of identified charged hadrons in pp (p s = 0.9, 2.76, and 7 TeV), pPb (p sNN = 5.02 TeV), and peripheral PbPb collisions (p sNN = 2.76 TeV) are studied with the CMS detector at the LHC. Charged pions, kaons, and protons at low pT and in laboratory pseudorapidity jj < 1 are identified via their energy loss in the silicon tracker. The two-particle correlation functions show effects of quantum statistics, Coulomb interaction, and also indicate the role of multi-body resonance decays and mini-jets. The characteristics of the one-, two-, and three-dimensional correlation functions are studied as a function of pair momentum and the charged-particle multiplicity of the event. The extracted radii are in the range 1-5 fm, reaching highest values for very high multiplicity pPb, also for similar multiplicity PbPb collisions, and decrease with increasing kT. The dependence of radii on multiplicity and kT largely factorizes and appears to be insensitive to the type of the colliding system and center-of-mass energy.