The men, all from the same village in the region of Kamchatka in far eastern Russia, committed the murder last May because they were "convinced of the non-traditional sexual orientation of their fellow villager," regional prosecutors said in a statement, using a euphemism for being gay.
"Taking into account the role of each, the court sentenced them to 12-and-a-half years, 10-and-a-half years and nine years in a strict-regime prison colony," prosecutors said.
Finally they placed the 29-year-old victim in his car and set the vehicle alight using petrol, prosecutors said.
The men who committed the murder are now aged 26, 22 and 18, with the youngest still a minor at the time of the crime.
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It was highly unusual for prosecutors to state publicly that the motive was homophobia. However the men were prosecuted for murder, not for a hate crime, a classification that is rarely used.
Activists say the measure has helped inflame anti-gay sentiment in the country. President Vladimir Putin has denied that gays and lesbians face discrimination.
In the southern Russian city of Volgograd, a man last year was tortured to death for saying he was gay.