# Drawing a Hasse Diagram

I am trying to draw a Hasse diagram and wanted to see if anyone can let me know if I am doing it right.

Let R = {(a,b) | a divides b} be a relation over the set {1, 2, 3, 4, 5, 12}

That is what I have so far and I'm not sure if it is the right diagram.

The maximal element of R would be 12 and 5, 12 is the greatest element

The minimal element of R would be 1, it is also the least element

The least upper bound of {2} is 4.

Is this right?

But I don't agree with "the least upper bound of $\{2\}$ is $4$". Namely, $2$ is another, smaller upper bound.