Wash and dry the limes. Cut each lime into 4 wedges.

In a blender, combine lime wedges with water. Blend for 30 seconds until smooth.

Strain the mixture through a wire strainer into a bowl, pressing to extract as much juice as possible.

Add the strained lime juice back to the blender along with strawberries, ice, sweetened condensed milk, and sugar. Blend until smooth.

Pour into glasses, stir well, and serve immediately.