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Hollywood stars showed out in droves to support their hometown team in the World Series ... packing Dodger Stadium to cheer on the Blue Crew as they faced off against the Toronto Blue Jays in a thrilling Game 5.

Leonardo DiCaprio was spotted on the broadcast ... keeping it low-key in an all black outfit and a fresh pair of shades.

"Call Her Daddy" host Alex Cooper made her first World Series appearance -- joining fellow celebs Charlize Theron and Ellen Pompeo in the stands.

Former "Wheel of Fortune" host Pat Sajack kept it classy ... buttoned-up in a crisp shirt as he took in the action from seats near home plate.

Jason Bateman is proving he's one of the most die-hard Dodger fans in Hollywood ... attending his third straight World Series game, while Chris Pine went to his secon

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