This comprehensive review explores the integration of Large Language Models (LLMs) in smart educational services, highlighting their potential to revolutionize teaching and learning through personalized, interactive experiences. We propose a conceptual framework categorizing LLMs-Driven services into infrastructure, business processes, data management, applications, and security, privacy and ethics. Despite promising applications in adaptive tutoring, content generation, and assessment, LLMs face challenges related to accuracy, bias, pedagogical understanding, and ethical deployment. Future opportunities include enhancing model accuracy, developing pedagogically aware LLMs, and establishing robust ethical frameworks. This review aims to provide valuable insights for educators, researchers, and developers to leverage LLMs effectively and responsibly in education.