Any type of (sufficiently well-behaved) singularity of SL $m$-folds, which can appear as a limit of nonsingular, locally exact SL $m$-folds, may provide a local model for finite time singularities of Lagrangian MCF.

Similarly, any (sufficiently well-behaved) singular Lagrangian in ${\mathbin{\mathbb{C}}}^{m}$ which can appear as a limit of nonsingular, exact Lagrangian MCF translators in ${\mathbin{\mathbb{C}}}^{m},$ may provide a local model for finite time singularities of Lagrangian MCF.