EXCLUSIVE

Fetty Wap made it just in the knick of time for the birth of his baby girl with Masika, and the trio looks like one big happy family in their first group shot.

Fetty and Masika's baby girl, Khari Barbie Maxwell, was born weighing 7 lbs and 1 oz Tuesday in a L.A. hospital at around 6:07 PM.

According to Masika's rep ... the labor was easy with little pain and no complications.

As we previously reported ... Fetty hopped on a plane from New Jersey the second Masika went into labor ... about a 6 hour flight.

We're told they agreed on the name Khari since it means queenly and joyful in Swahili ... which is a long way from where this whole thing started.