Notify all objects of a class of property change

I have following class and there can be many objects instantiated from this class. I want to have this Visibility property shared among all objects. When visibility is changed for one object, all other objects should have the same value. I have view(XAML) per viewmodel which has this Visibility property bound to one element's visibility.

public class ViewModel
{
    private Visibility visibility = Visibility.Visible;
    public Visibility Visibility
    {
        get { return this.visibility; }
        set { this.CheckAccessInvoke(() => this.SetAndRaisePropertyChanged(ref this.visibility, alue)); }
    }
}

What could be a good solution for this?