In order to provide a reference range for the safe application of $C_3H_8 $ under $O_2/CO_2$ atmosphere, the lower flammability limit of $C_3H_8/O_2/CO_2$ was studied by calculations. A prediction model based on the limited laminar flame speed principle was used to calculate the lower flammability limit of $C_3H_8/O_2/CO_2$ mixture. The effects of elevated temperature and pressure on the lower flammability limit of $C_3H_8$ were investigated. How the high $CO_2$ concentration changes the lower flammability limit was also discussed. Results show that the lower flammability limit of $C_3H_8$ decreased linearly with the increase of preheating temperatures. The lower flammability limit increased in a logarithmic relation with the increase of pressure. The lower flammability limit increased slightly with increasing $CO_2$ concentration.