Here are some of the routes:

Rout 1: Sevaberd village – Lake Akna – Mount. Azhdahak – Sevaberd village
Season: June-October
Duration: 2 days
Distances:
Sevaberd village – Lake Akna: 12km
Lake Akna – Mount. Azhdahak: 8km
Mount. Azhdahak – Sevaberd village: 15km
Total route length: 35km

Rout 2: Sevaberd village – lake Akna – Mount. Azhdahak(3597м) – Mount. Nazeli(3312м) – Mount. Spitakasar(3555м) – Yeranos village
Season: June-October
Duration: 3 days
Distances:
Sevaberd village – Lake Akna: 12km
Lake Akna – Mount. Azhdahak: 8km
Mount. Azhdahak – Mount. Nazeli– Mount Spitakasar: 11km
Mount. Spitakasar – Yeranos village: 16km
Total route length: 47km

Rout 3: Sevaberd village – Lake Akna – Mount. Azhdahak(3597м) – Lake Vank - Goght village
Season: June-October
Duration: 3 days
Distances:
Sevaberd village – Lake Akna: 12km
Lake Akna – Mount. Azhdahak: 8km
Mount. Azhdahak – Lake Vank: 11km
Lake Vank - Goght village: 14km
Total route length: 45km

Rout 4: Tsakhkashen village – Lake Akna – Mount. Azhdahak(3597м) – Lake Vank - Kaqavaberd fortress(through Khosrov State Reserve) – Garni village
Season: June-October
Duration: 5 days
Distances:
Tsakhkashen village – Lake Akna: 14km
Lake Akna – Mount. Azhdahak: 8km
Mount. Azhdahak – Lake Vank: 11km
Lake Vank - Kaqavaberd fortress: 13km
Kaqavaberd fortress – Garni village: 18km
Total route length: 64km

Rout 5: Geghard village – Mount. Azhdahak(3597м) – Lake Akna – Sevaberd village
Season: June-October
Duration: 2 days
Distances:
Geghard village – Mount. Azhdahak: 18km
Mount. Azhdahak – Lake Akna: 8km
Lake Akna – Sevaberd village: 12km
Total route length: 38km

Durations of each route are based on a typical physically well-prepared group and good weather conditions. Тhereafter, it could be 1 - 2 days longer.
The above mentioned routes are a select 5 of all possible route combinations. It is possible to climb Mount Azhdahak by a number of various route combinations of approaches and descents.