Preheat the oven to 375 degrees F. Prepare a 9 x 12 baking dish with non-stick spray.
In a large bowl, whisk together granulated sugar, salt, flour, cinnamon, nutmeg, and allspice. Set aside. Core and peel all the apples and cut them into chunks. Add apples, raisins, lime juice, and apple juice. Toss all to combine. Add to the prepared baking dish.
In a bowl combine flour, sugars, salt, oatmeal and cubed cold butter. Cut in cold butter and mix together until the mixture resembles large pebbles. Cover the fruit mixture with crumble in an even layer.
Bake for 45 minutes, or until the crumble is golden and the fruit is bubbling.