The family had been making their way home to Glasgow from a Legoland getaway.
Their Toyota collided with a Skoda driving south on the northbound carriageway just past Tebay services at around 4pm.
A 40-year-old man from Cambridgeshire who was driving the Skoda also died in the smash.
Friends have launched a GoFundMe to support Arran and his dad, who is travelling back and forth between Scotland and the hospital.
The fundraiser blurb reads: “It is with heavy hearts that we create this GoFundMe for a beloved friend.
“His amazing little boy Arran has always been full of life and a joy to everyone around him.
“Our community is deeply affected by the tragic accident that happened on the M6 on October 15.
“Our thoughts and condolences go out to the families of Jade, Jaroslaw, and his two sons, Filip and Dominic.
“We cannot begin to imagine the pain their loved ones are facing during this unimaginably difficult time.
“People that know Arran knows of his love for horror. He loves to scare people with his Chucky doll and horror stories.
“But he likes to bring along Woody and Buzz to his cold water dips just in case any of the adults get into some trouble in the water and he can help save the day with them.”
The friend added: “As of today, Arran remains in a coma although he is doing better.
“It is early days but we know that this accident will be life changing for him and Andy.”
Cumbria Police is appealing for witnesses and dashcam footage following the horror smash.
Cops were first alerted to reports of a Skoda travelling south on the northbound carriageway – before later calls confirmed the crash.
The force said: “We would like to thank members of the public who assisted at the scene and those affected by the collision for their patience.Â
“We would also like to thank those that have already been in touch who witnessed or have dashcam of the incident.
“We continue the appeal to anyone with information or with dashcam to contacts us.”
Anyone with information about the collision should call 101 quoting incident number 146 of October 15.
Alternatively, you can contact Crimestoppers, anonymously, on 0800 555 111.