They are not the same roof rails but I think they are interchangeable because the roof has 4 places (contact areas) to fix the roof rails.
In the LC 3 anchor points are used due to the design of the roof rails and in the LX570 only 2 anchor points.
Simply look at your roof and if you see there are 4 contact points I think you're ok. I believe it was the same case in the 100 series.
This is just my own experience and hope it helps