Add all the ingredients to a blender with the frozen ingredients on top. Blend on high until smooth, about 60-90 seconds, adding a splash more liquid if it's too thick.
1 medium banana, room temperature, 2 cups frozen mango, 1 cup frozen pineapple, ½ cup Greek yoghurt, 1 ½ cups coconut water, ½ lime, ¼ teaspoon Tajin