Chorbajian graduated from Temple University with a B.A. in 1964. In 1965 he received a M.A. from the University of Michigan. In 1974 he gained a Ph.D. from Brandeis University.
Chorbajian was a volunteer at U.S. Peace Corps, Washington between 1966 and 1968. Since 1970 he has been a professor of sociology at the University of Massachusetts, Lowell. He was a managing editor at the Journal of Sport and Social Issues and ARENA Review, both between 1982 and 1986. He was a senior Fulbright lecturer in the U.S.S.R. in 1986-1987, and in the Republic of Armenia in 1996.
Chorbajian has served on the UMass Lowell Faculty Union and has been the campus labor representative in Commonwealth Health and Welfare Trust. He continues to serve on the editorial board of the Armenian Review and he assists as a manuscript reviewer for Humanity and Society. Within the Sociology Department, he acts as the Continuing Education liaison and coordinates all continuing education classes for the Department.
Levon is an adherent to the Armenian Apostolic Church.
Chorbajian is involved in socialist and progressive politics and is a critic of neoliberalism.
Levon Chorbajian married Beverly Byrnes in 1978. The couple have 4 children: Ruby, Garo, Seta, Von.