The focusing and transmission characteristics of coherent laser arrays are studied. A physical model of coherent laser arrays focused through lenses is established based on scalar diffraction theory, and the variation patterns of transverse mode field distributions are analyzed through numerical simulations. An aperture filtering method based on the diameter of first-order dark fringe rings in the far-field is proposed, which effectively eliminates side lobes using focusing lenses and successfully extracts the central main lobe for transmission analysis. The transmission transformation characteristics of different array geometries such as circular, hexagonal and square, and arrangements through various focal length lenses are further studied. The beam quality factor M² for coherent array lasers is defined as the ratio of the focal depth of the fundamental Gaussian beam to that of the coherent array beam. The study revealed that when employing circular and hexagonal array configurations, the M² factor of focused coherent array lasers becomes less than 1, exceeding the electric field diffraction limit.