To organize a list of figures by chapters in LaTeX, one effective method is to use the \addcontentsline command to add chapter headings before the list of figures for each chapter. This allows for a structured presentation of figures associated with their respective chapters. Additionally, incorporating the \usepackage{chngcntr} package enables the use of \counterwithin commands, which can be applied to figures, tables, and equations, ensuring they are numbered according to their section or chapter. This approach enhances the clarity and organization of the document's figures.