Conditionally appending in the list

Question

I have \'n\' lists let\'s say:

L1=[1,2,3,4]
L2=[1,2,4,5]
L3=[2,1,3,4]
L4=[4,3,1,2]
L5=[2,1,4,5]
L6=[1,3,4,5]
Output = [[1,2,3,4],[2,1,3,4],[4,3,1,2],[1,3,4,5]