To mark his return, Charles and his wife Queen Camilla will visit a cancer treatment centre in London next Tuesday
"The Las Vegas attack was carried out by a soldier of the Islamic State and he carried it out in response to calls to target states of the coalition," the group's news agency Amaq said in reference to the US-led coalition fighting the group in the Middle East.
"The Las Vegas attacker converted to Islam a few months ago," Amaq added.