Wash peaches, remove pits & place in large pot. Use your hands to mash all the peach halves into peach mush. Cook on stove top over medium to medium-high heat. Bring to a simmer. Add sugar and lemon juice. Bring back to a simmer. Use an immersion blender to puree this into peach-sauce.
Ladle peach sauce into ice cube trays and transfer to freezer.