To combine "Let me know" with another verb in Japanese, you can use the following structure:

Noun

[Noun + を + おしえてください]

名前を教えてください

Let me know your name

予定を教えてください

Let me know your plans

答えを教えてください

Let me know the answer

Verb

[Verb (dict form) + か + 教えてください]

どうやってやるか教えてください

Let me know how to do it