The Lean Six Sigma DMAIC (Define, Measure, Analyze, Improve, and Control) methodology reduces variation, defects, waste, and non-value-added activities in manufacturing. This data-driven, fact-based approach utilizes graphical statistical analysis and hypothesis testing to resolve problems. This paper proposes a Lean Six Sigma framework tailored for the Indian manufacturing sector, focusing on reducing process variation through optimized process parameters. The study uses historical data from the glass manufacturing industry in India, which shows a rejection rate of 1.35%, costing the organization 670 rejected glass items per month. To mitigate these losses, a Lean Six Sigma-based approach was implemented, and a framework was developed based on a case study. The case study presents a detailed framework for implementing Lean Six Sigma in manufacturing industries. While the proposed framework is applicable to various other manufacturing sectors in India, it requires careful validation before explicit application. The same methodology can be extended to other manufacturing processes. This paper serves as a valuable resource for researchers, academics, and industry professionals, providing insights into Lean Six Sigma methodology and its practical application in the Indian manufacturing sector.