Quechua is a low-resource language spoken by more than 7 million people in South America. While Quechua is primarily an oral language, several orthographic standards do exist. There is no universally adopted writing standard for Quechua, and variations exist across dialects and regions; its current writing is based on how it is uttered and how the sound is written. Quechua is a family of languages with similarities among the seven variants. The lack of a parallel dataset has reduced the opportunities for developing machine translation. We investigated whether increasing the current Quechua Parallel dataset with synthetic sentences and using a pre-trained large language model improves the performance of a Quechua machine translation. A Large language model has been used to generate synthetic sentences to extend the current parallel dataset. We use the mt5 model to fine-tune it to develop a machine translation for Quechua to Spanish and vice versa. Our survey identified the gaps in the state of the art of Quechua machine translation, and our BLEU/Chrf++ results show an improvement over the state of the art.