"No technical factor was part of the accident, everything involved human error, added to a management factor in the company's administration and the management and organization of the flight plans by the authorities in Bolivia," Colombia's Secretary for Air Safety Colonel Freddy Bonilla told journalists.
Aviation authorities in Bolivia and the airline "accepted conditions for the flight presented in the flight plan that were unacceptable," Bonilla added.
Besides a lack of fuel, the plane was over its weight limit by nearly 400 kilograms (881 lbs) and was not certified to fly at the altitude at which the journey took place, Bonilla said.
The preliminary conclusions of Colombia's investigation coincide with assertions by Bolivian authorities last week that LaMia and the plane's pilot were directly responsible for the accident.
Pilot Miguel Quiroga was also a co-owner of the airline and was killed in the crash.
Gustavo Vargas Gamboa, LaMia's chief executive, was jailed pending trial earlier this month on manslaughter and other charges, which he has denied.
His son Gustavo Vargas Villegas, a former official with Bolivia's aviation authority, is also being held on charges that he misused his influence in authorizing the license of the plane that crashed. He also says he is innocent.