01 - Trim the ends from each lime and slice into eighths.
02 - Combine half of the limes, half of the sugar, and half of the water in a blender. Blend for 10 to 15 seconds, ensuring the peels are not fully pulverized.
03 - Pass the blended mixture through a fine-mesh strainer into a large pitcher, pressing to extract all liquid. Discard the remaining solids.
04 - Repeat the blending and straining process with the remaining limes, sugar, and water.
05 - Pour the sweetened condensed milk into the strained lime mixture and stir until fully combined.
06 - Stir in ice cubes, then pour into glasses over additional ice and serve immediately.