@pipingguy if each is a solid component, draw a cutter shape to the outside perimeter of the tiled area and make it a solid object. Then use Trim from the native Solid Tools, or better, Eneroth Solid Tools or Bool Tools 2 to trim the tiles with the cutter. The latter two respect components.
You may not need to make each tile unique. If you have a row of tiles that all get cut the same, they can be instance of the same component. Then you only need to trim one. The corners, would be unique.
The native Solid Tools convert components they modify into groups.
With Bool Tools2
trim.gif