Turning off the Location History feature on your Android smartphone will not prevent Google from knowing where you go and when.
However, there is a way to completely turn off the data collection on your Android device. Open the privacy menu in your Google account and then select "Activity controls". Here, you can choose to turn off the "Web & App Activity". Only then will the compiled location data no longer be saved.
These steps can be taken directly on your smartphone in the Google app or through an Internet browser after signing into your account.
Also under the privacy menu, users can select "My Activity" to see which data is created when they use Google services and delete data if they wish to do so.