NOVELTY - A layered lithium nickel manganese cobalt composite oxide comprises primary particle aggregates, formed secondary particle and primary particle with average particle diameter standard deviation (s) of less than or equal to 0.15.    USE - Layered lithium nickel manganese cobalt composite oxide for positive electrode used for lithium secondary batteries (claimed) of notebook personal computer, pen input personal computer, mobile personal computer, electronic book player, mobile telephone, portable fax, portable copy, portable printer, headphones stereo, video movie, liquid crystal television, handicap cleaner, portable compact disk, minidisk, transceiver, electronic organizer, calculator, memory card, portable tape recorder, radio, backup power supply, motor, lighting fixture, toy, game machine device, timepiece, electronic flash, camera and motive power source for motor vehicles.    ADVANTAGE - The layered lithium nickel manganese cobalt composite oxide has high capacitance, excellent rate characteristics, and high temperature cycling characteristics.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for:    (1) lithium secondary battery positive electrode material comprising layered lithium nickel manganese cobalt complex oxide;    (2) manufacture of layered lithium nickel manganese cobalt composite oxide involving baking mixture of precursor consisting of nickel manganese cobalt type complex oxide and lithium compound at less than or equal to 1100 degrees C in oxygen gas containing atmosphere more than temperature of 800-(3000x-450) degrees C;    (3) positive electrode comprising layered lithium nickel manganese cobalt composite oxide and positive electrode active material layer containing binder; and    (4) lithium secondary battery comprising positive electrode, negative electrode which can occlude/release lithium and nonaqueous electrolyte which contains lithium salt as electrolysis salt.    DESCRIPTION OF DRAWING(S) - The drawing shows a graph of the calcination temperature and X-ray diffraction (XRD) pattern of manufactured nickel manganese cobalt type complex oxide. (Drawing includes non-English language text).