Positive Electrode Active Material for Lithium Secondary Battery, Method for Manufacturing the Same, and Positive Electrode and Lithium Secondary Battery Comprising the Same

A positive electrode active material for a lithium secondary battery has secondary micro particles having an average particle size (D50) of 1 to 10 μm formed by agglomeration of primary macro particles having an average particle size (D50) of 0.5 to 3 μm and a lithium-M oxide coating layer on all or part of a surface, wherein M is at least one selected from the group consisting of boron, cobalt, manganese and magnesium. The secondary macro particles have an average particle size (D50) of 5 to 20 μm formed by agglomeration of primary micro particles having a smaller average particle size (D50) than the primary macro particles. The primary macro particles and the primary micro particles are represented by LiNiCoMnQO, wherein 1.0≤a≤1.5, 0