In what situations would it be more beneficial to use Newtonian Formalism vs Lagrangian Formalism?

Question

I'm studying for an exam in Classical Mechanics, and I was curious to know when it is more appropriate to use Lagrangian vs Newtonian Formalism. I know that Lagrangian Formalism much more efficient, however in another physics class I was in, we hardly used Lagrangian formalism at all, and primarily used newtonian.