The five incidents occurred during a week-long period in July at the 7-Eleven store at the corner of Sunset Boulevard and Rosemont Avenue.
During the heists, store employees were never threatened and weapons were never displayed, say investigators.
The suspects targeted beer and other merchandise.
Investigators believe these suspects live in the area. If you have any information, you're urged to contact the Los Angeles Police Department's Rampart Detective Division Burglary Unit at (213) 484-3490 or (213) 484-3487. You can also call (800) 222-TIPS.