To extract physics results from the recorded data, the LHC experiments are using Grid computing infrastructure. The event data processing on the Grid requires scalable access to non-event data (detector conditions, calibrations, etc.) stored in relational databases. The database-resident data are critical for the event data reconstruction processing steps and often required for physics analysis. This paper reviews LHC experience with database technologies for the Grid computing. List of topics includes: database integration with Grid computing models of the LHC experiments; choice of database technologies; examples of database interfaces; distributed database applications (data complexity, update frequency, data volumes and access patterns); scalability of database access in the Grid computing environment of the LHC experiments. The review describes areas in which substantial progress was made and remaining open issues.