A color-filterless liquid crystal display (LCD) having a large screen. The color-filterless LCD further including a light guide plate uniformly emitting light, which is incident from both lateral sides, through a top surface thereof; first and second light sources disposed on both the lateral sides of the light guide plate; a color separation sheet that is disposed on the top surface of the light guide plate and is adapted to separate incident light into red, green, and blue light beams and emit them at different exit angles; a liquid crystal panel having a liquid crystal layer that is divided into a plurality of pixels; and an optical element sheet that is disposed on a bottom surface of the liquid crystal panel and includes a plurality of optical elements focusing the red, green, and blue light beams separated by the color separation sheet on three different pixels that are continuously arranged, where the first and second light sources are turned on alternately.