The suspects, aged 18, 20 and 24, were arrested early Sunday in an apartment in Uppsala, 45 miles north of Stockholm, in the presence of their 30-year-old victim.
The arrest were made after members of a Facebook group saw the attack streamed live and alerted police.
The gang shouted: 'F*** Trump' and 'F*** white people' during the attack.
In June last year gang member Antonio Perkins, 28, unwittingly live streamed his own death on Facebook after he was shot dead in Chicago while using the real time video app.
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It is not the first time that Facebook's Live tool, launched last year, has caused controversy.
Because of this change, which Microsoft tried to defend but then realized the scale of the impact this change has caused, means that when a webcam tries to use MJPEG or H264, the device will freeze.
If you use Skype and your webcam freezes after about a minute, this is the reason.
When Paul started having these issues a few months ago, we figured it was either a bad driver from Logitech or possibly even the Skylake CPU.
On my desktop, where my webcam is connected, I do not run Insider builds other than in a VM.
Last month Swedish police arrested three men on suspicion of gang-raping a woman live on Facebook to a closed group with 60,000 members.