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The prospects of anomalous ZZγ and ZZZ triple gauge boson couplings are investigated at the Large Hadron Collider (LHC) through an excess of events in ZZ diboson production.Two such channels are selected and the tree level results including leptonic final states are discussed:Z Z → e-1e+1 e-2 e+2 and Z Z → e-e+v-(v)( e,e1,2 =e,μ).The results in the full finite width method are compared with the narrow width approximation (NWA) method in detail.Besides the Z boson transverse momentum distributions,the azimuthal angle between the Z boson decay to fermions,△ Φ,and their separations in the pseudo-rapidity-azimuthal angle plane,△R,as well as the sensitivity on anomalous couplings are displayed at the 14 TeV LHC.