Shohei Ohtani of the Los Angeles Dodgers hits his 300th career home run against the Colorado Rockies, at Dodger Stadium in Los Angeles, Tuesday. (AFP-Yonhap) LOS ANGELES (AP) -- Shohei Ohtani hit his 300th career homer on Tuesday night, a leadoff shot against Colorado Rockies pitcher Michael Lorenzen.The Los Angeles Dodgers' two-way superstar blasted a 124.6-meter line drive to center on a 2-0 pitch for his 20th homer of the season. Center fielder Cole Carrigg could only watch it fly out.Ohtani is the 170th member of the 300-homer club.It was Ohtani's 31st career leadoff homer and seventh this season. He also homered in the Dodgers' 8-7 victory in 11 innings on Monday night to highlight a 3-for-4 performance.Ohtani is the first Japanese-born player in the majors to reach the milestone and the fifth-fastest in history to do so. It took him 1,102 games between playing for the Los Angeles Angels and Dodgers; New York Yankees slugger Aaron Judge was the quickest at 955 games.The Dodgers took a 2-0 lead on Lorenzen's bases-loaded walk to Pages in the fifth.Colorado closed to 2-1 on McCarthy's RBI groundout in the sixth.Freeland's RBI single made extended the Dodgers' lead to 3-1 in the sixth.But Dodgers’ reliever Will Klein (3-3) had a potential inning-ending double play ball that turned into a run-scoring error by shortstop Miguel Rojas. Then the Rockies turned a squeeze play into two more runs to take a 4-3 lead for the win.