Fragmentation of 208 Pb nuclei at the LHC collider is studied using the Abrasion-Ablation Monte Carlo for Colliders (AAMCC) model. Various characteristics of fragmentation are investigated, such as the dependence of the maximum charge of a fragment in the event and the average multiplicity of fragments on the total charge of the fragments, , which correlates with the event centrality. By comparing the simulation results for 208 Pb– 208 Pb collisions at the CERN SPS, GeV, with those at the LHC, TeV, the evolution of these dependences with an increase in the initial collision energy is studied. The possibility of estimating the centrality dependence of by measuring the yields of free spectator neutrons and protons and measuring the event centrality through the number of particles produced in NN -collisions is discussed. The characteristics of spectator matter that are available for study in collider experiments on nucleus–nucleus collisions—the number of neutrons and the ratio, as well as their correlation with the number of nucleon–nucleon collisions in the event—are calculated.