The lagrange points exist regardless of the masses of the bodies. However the perturbing forces acting to pull bodies away from those points may be stronger or weaker depending on the masses involved. For Jupiter for example there are several thousands of asteroids that sit at it's L4 and L5 points and make up a group of asteroids called the Trojans[1]. So it's points are especially stable because of it's large mass. The Earth-Moon Lagrange points for example aren't very strong.

[1] https://en.wikipedia.org/wiki/Jupiter_trojan