Wash limes under cool running water and cut them into wedges. Add to a blender with cold water and blend until fully broken down.

Strain the blended lime mixture using a fine mesh strainer to separate juice from pulp.

Pour the strained lime juice back into the blender. Add strawberries, ice, sweetened condensed milk, and sugar. Blend until smooth and creamy.

Taste the limeade, adjusting sweetness or adding more ice if desired. Serve immediately in chilled glasses.