Looking on the internet deeply has found these results:

let me know the outcome is the most popular phrase on the web.

let me know about the outcome 1276 results on the web	let me know the outcome 1712,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
So, the sooner you let me know about those cards, the better. Let me know about the test results. He was to call and let me know about going to Mexico, so I could join him. Let me know about the costs. Let me know about the test results. Let me know about representing your place. And if Dr. Nelson keeps on you, let me know about it. So let me know about the place as soon as you can.	Let me know the minute you contact the pilot. No, I... I'll stay here, I'll let you know the outcome. You better let me know the second you're settled. Let me know the second President Hassan arrives. You should have let me know the plan changed. Sir, let me know the exact information you need. Could the Bureau let us know the outcome of their investigations into this please? You know the outcome, but let me assure you that it was nevertheless a difficult journey, and that for a long time it looked like the Commissioners would not succeed in reaching a sound agreement.

let me know about the outcome

1276 results on the web

let me know the outcome

1712,000 results on the web

More popular!

Let me know the minute you contact the pilot.
No, I... I'll stay here, I'll let you know the outcome.
You better let me know the second you're settled.
Let me know the second President Hassan arrives.
You should have let me know the plan changed.
Sir, let me know the exact information you need.
Could the Bureau let us know the outcome of their investigations into this please?
You know the outcome, but let me assure you that it was nevertheless a difficult journey, and that for a long time it looked like the Commissioners would not succeed in reaching a sound agreement.