You can use this template we created in Zapier to make this process easier. Keep in mind, this template & video uses Hubspot as the CRM example. So if you use a different CRM, like Wealthbox, Redtail, Salesforce, etc, you'll need to make tweaks to a few of the steps in this Zap.
Also, if you still want to create contacts in your CRM who do not have their email address listed on their LinkedIn profile, watch the video attached video at the bottom of this article (there's no audio with it) to see how to add a "Formatter by Zapier" step into your entire Zapier automation flow - it's titled: Including "Formatter by Zapier" step in integration process. Note: skip #4 in the video - you don't need that step.