when turning on "Find My" I found that the Apple ID is to the previous owner and it requested me to provide the password for that Apple ID. My Apple ID is defined in setting and iCloud correctly and working fine with my Mac and my iPhone.

Hey hamneg,

It sounds like the previous owner didn't turn off the Find My feature when selling the Mac to you. To remove Activation Lock from your Mac, the seller will need to follow these steps: How to remove Activation Lock - Apple Support

Remove Activation Lock on the web if a device is offline

1. Go to www.iCloud.com/find.

2. Sign in with your Apple ID and password.

3. At the top, click All Devices.

4. Select the device that you want to remove from iCloud.

5. Click Remove from Account.

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Take care!