Kulmėnai was formerly part of the German Empire. In the German Empire, the place was called Cullmen-Kulken.
The place is now called Kulmenai and belongs to Lithuania.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Kullmen-Kulken | German Empire | Tilsit | before the Versailles Treaty |
| Kulminai | Lithuania | Pajėgiai | after the Versailles Treaty |
| Cullmen-Kulken | German Empire | Tilsit-Ragnit | 1939 |
| Kulmėnai | Soviet Union | Pagėgiai/Pagegjaj | 1945 |
| Kulˈmenaj | Soviet Union | Pagėgiai/Pagegjaj | 1945 |
| Kulmenai | Lithuania | Šilutė | 1992 |