The deployment of large language models (LLMs) on edge devices and non‐server environments presents significant challenges, primarily due to constraints in memory usage, computational power, and inference time. This article investigates the feasibility of running LLMs across such devices by focusing on optimising memory usage, employing quantization techniques, and reducing inference time. Specifically, we utilise LLaMA 2 for biomedical text summarization and implement low‐rank adaptation (LoRA) quantization to compress the model size to compress the model size and fine‐tune it using limited resources. Our study systematically evaluates memory consumption during both training and inference phases, demonstrating substantial reductions through efficient LoRA quantization. Our results indicate that with careful optimization, it is feasible to deploy sophisticated LLMs like LLaMA 2 on low powered devices, thereby broadening the scope of their application in resource‐constrained environments.