There is no single, universally agreed-upon ranking of universities that definitively places Lugansk State Medical University in a specific world rank. Different ranking organizations use different methodologies and criteria, leading to varying results. Also, the ongoing conflict in Ukraine significantly impacts data collection and reliability of any rankings related to universities in the region.
To find any rankings, you would need to consult various ranking websites individually (like QS, THE, ARWU, etc.), but keep in mind that the results should be interpreted cautiously due to the limitations mentioned.