The following pictures show n L's (with short side 1) packed inside the smallest known domino (with short side length s).
1.-2. 
s = 2
Trivial.
3. 
s = 3(2+ √2)/4 = 2.560+
Found by Erich Friedman in April 2026.
4. 
s = 6(1+√2)/5 = 2.897+
Found by Erich Friedman in April 2026.
5.-6. 
s = 3
Trivial.
7. 
s = 7/3+√2 = 3.747+
Found by Erich Friedman in April 2026.
8.-10. 
s = 4
Trivial.
11.-12. 
s = 9/2 = 4.5
Trivial.
13.-16. 
s = 5
Trivial.