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. 
s = 3(6+√2)/5 = 4.448+
Found by Maurizio Morandi in April 2026.
12. 
s = 9/2 = 4.5
Trivial.
13. 
s = (14+11√2)/6 = 4.926+
Found by Maurizio Morandi in April 2026.
14.-16. 
s = 5
Trivial.
17. 
s = 3+7√2/4 = 5.474+
Found by Maurizio Morandi in April 2026.
18. 
s = 11/2 = 5.5
Trivial.
19. 
s = 3+2√2 = 5.828+
Found by Maurizio Morandi in April 2026.
20.-24. 
s = 6
Trivial.