Many meshes to one

I did a union boolean first on two meshes, then boolean on the mesh that was the result from this and another mesh. The result from this second boolean was two meshes together with holes in them but together they look ok. Isn’t it possible to boolean three or more meshes to one or is there some other way around welding separate meshes together?

It only evaluates 2 objects, but there’s nothing stopping you from using the product of a boolean in another boolean.

%<

Why not take your 3 meshes and join 2 of them into 1 mesh. this gives you 2 meshes. Then boolean??