Possible data leak when duplicating encryption?

Say we have 3 keys $K_1$, $K_2$ and $K_3$, and a piece of data $D$.

If I were to encrypt $D$ with all three keys separately and store them together then discard two of the keys, will it be possible to recover the other keys from it?

My understanding is because we have access to the plain-text via one of the keys, it should be possible for us to figure out the other keys based on all the information we have.

Is that assumption correct? is such a scenario leaking information?

• I would not assume that is correct, there are many reasons why that could be impossible in practice – Richie Frame Nov 19 '17 at 8:21