Multiple caller ID company names

Is is possible to have multiple main company numbers? The company I work for is a parent company for 6 subsidiary companies. We are using the contact center and have build outbound skills that have the caller ID of some numbers we own in Ring Central. The problem is all of these numbers have our parent company name on the caller ID. Ideally, I want to have the numbers associated with different subsidiary companies to reflect that company's name on the caller ID. I have enabled the multi-site feature in Ring Central but all the numbers still show our parent company's name on the Caller ID. I believe I need to have multiple main company numbers and publish them in the national directory or publish the individual numbers for the subsidiary companies. How can I have different company names show up on the caller ID using one Ring Central account?