Add the beef stew meat, diced poblano peppers, chopped onion, and minced garlic to the slow cooker.
Stir in the drained hominy, diced tomatoes with their juice, and beef broth.
Sprinkle the cumin, chili powder, oregano, salt, and black pepper over the top. Stir everything to combine.
Cover and cook on low for 8 hours or on high for 4 to 5 hours until the beef is tender.
Taste and adjust salt if needed. Ladle into bowls and top with chopped cilantro. Serve with lime wedges on the side.