Line a baking sheet with parchment paper. Place mangos, raspberries, and strawberries in a single layer on prepared baking sheet. Place in freezer until fruit is frozen, about 2 hours.
Place frozen fruit, orange, lemon, and lime juices in blender. Process until smooth. Serve immediately, or place in molds and freeze 1 to 2 hours until firm, but not frozen solid.
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