The seismological base of Khorassan, affiliated to Tehran University's Geophysics Institute, recorded the tremors at 22:35, 23:16 and 23:32 local time on Friday (18.05, 18.46 and 19.02 GMT) with their epicenters placed in the neighboring Afghanistan.
No reports of any casualty or property damage has been received so far.
Meanwhile, another earthquake measuring 4.1 degrees on the open-ended Richter scale jolted Tabas, in Yazd province, on Friday.
According to Tehran University's Geophysics Institute, the quake shook the region at 14:58 local time (10.28 GMT).
The head of the Yazd Natural Disasters Headquarters, Kazem Qafi, told RNA that the quake caused no serious damage to the region.
He further said that the Tabas governor's office was preparing to send some teams to the region to get more information.
Tabas, a desert area, is located 365 kilometers northeast of Yazd city.
Iran is situated on some of the world's seismic faultlines and quakes of different magnitudes are usual.
Since 1991, over 950 earthquakes have hit the country killing 17,600 people and injuring 53,300 others.
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