Very rare decays are processes that are highly suppressed in the Standard Model, however theories that go beyond the Standard Model can often predict significant enhancements to their branching fractions making the study of very rare decays interesting as indirect searches for new physics. The results from searches for very rare decays at the LHCb experiment and combined analysis of CMS and LHCb Run 1 data for B 0 (s) → µ + µ − are reviewed.16th International Conference on B-Physics at Frontier Machines