Rare top quark production at the LHC: t$\bar{\text{t}}$Z, t$\bar{\text{t}}$W, t$\bar{\text{t}}\gamma$, tZq, t$\gamma$q, and t$\bar{\text{t}}$t$\bar{\text{t}}$

A comprehensive set of measurements of top quark pair and single top quark production in association with electroweak bosons (W, Z, or $\gamma$) is presented. The results are compared to standard model (SM) predictions and used to set limits on new physics effects that would induce deviations from the SM. Searches for four top quark production, to which the ATLAS and CMS experiments at the CERN LHC are starting to be sensitive and which has important beyond-the-SM interpretations, are also discussed.