The turbofan engine holds significant importance as a key component within an aircraft. However, the performance and dependability of engine components tend to deteriorate over their operational lifespan. This degradation adversely affects their reliability and overall efficiency. To proactively address maintenance requirements and mitigate the risk of engine failure, accurate prediction of the Remaining Useful Life (RUL) becomes imperative. Precise estimation of RUL empowers effective maintenance planning, minimizing potential risks and reducing downtime caused by engine malfunctions. Long Short-Term Memory (LSTM) network is a Deep Learning technique that is widely used for predicting accurate RUL as LSTM are capable of learning long-term dependencies which can be useful in the case of large data-driven predictions. This paper proposes an LSTM model with LSTM, dropout, and fully connected layers for predicting the RUL of Aircraft Turbofan Engines using the CMAPSS turbofan Jet engine degradation dataset provided by NASA. The primary architecture of the proposed model has four layers of LSTM and Dropout each and a fully connected layer for output, with tanh, sigmoid, and relu as primary activation functions. The C-MAPSS dataset consists of four each training and testing datasets. Datasets consisting of 26 features including Engine id, Number of cycles, Operational settings, and Sensor data are pre-processed and brought down to relevant features with the help of a correlation matrix. Further, the dataset is transformed according to the window size of the LSTM model, which makes it easy to use it for training. Undergoes training and testing on pre-processed sub-datasets, and the obtained results are compared against existing methods that have used the same dataset in their research work. The performance evaluation of this model is conducted based on root mean squared error and score function values.