PurposeThis article aims to explore synergies between Lean, Green and Six Sigma practices in order to propose an integrated LGSS framework for continuous and incremental improvement in the Indian manufacturing industries. The three-dimensional LGSS framework seeks to provide various combinations and support operational, financial, environmental and social needs.Design/methodology/approachIn the research method, first, the current problems faced by Indian manufacturing industries are considered and proposition of a conceptual framework that qualitatively integrates synergistic aspects of Lean, Green and Six Sigma practices, and second, the framework is checked by a survey taken from 203 Indian firms by using SPSS-AMOS.FindingsThe hypothesized result suggests that the positive impact of integrated practices on firm performance in terms of operational, financial, social and environmental outcomes. It also provides a systemic and holistic approach to problem-solving through constant and incremental enhancement in the manufacturing sector.Research limitations/implicationsIn this research, only Indian manufacturing industries have been studied but can be extending into different geographical areas and sectors. Future research is also possible for different behavior and characteristics of companies that can lead to recommending strategies on how companies can improve performance. Most importantly, future research can try to understand which specific practice can contribute to competitive advantage and business success.Practical implicationsManufacturing firms that want to improve environmental sustainability should implement integrated LGSS practices into their supply chain. The set of combined practices improves operational, social, economical and environmental benefits.Social implicationsThe research presents an integrated approach of LSS for the manufacturing industry which leads their business processes to achieve economic sustainability through continuous growth and improved operational efficiency. Manufacturing industries result in outcomes like reduced cost, lead time, improved quality, sustainable market position, profitability, customer satisfaction, etc.Originality/valueThis research is different from previous studies because it integrates Lean, Green and Six Sigma practices into a unique framework that fulfills a specific need of the Indian manufacturing sector that guides operational, social, environmental and financial issues in Indian industries.