1. A method of driving a liquid crystal display (LCD) apparatus, the method comprising: determining whether a grayscale value of an input image has a same value for at least two frames; in response to determining the grayscale value of the input image has the same value for at least two frames, correcting a display image to be displayed in the later one of the at least two frames by generating the display image by converting the grayscale value of the input image into an adjacent grayscale value; and displaying the display image.