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The group's Marvin Humes told the Daily Star that Take That, Westlife, JLS and The Wanted could all achieve success without being rivals.
"It's an amazing time for boybands," he said. "There is no need to be threatened. When you look at history, you had Boyzone, Westlife and Take That before and everyone was doing very well. It's the same now."
He continued: "For a long time we had rock and indie, but now pop and mainstream commercial music is here to stay. Let's all rule the charts."
Speaking about The Wanted, Humes said: "There's room for everyone and no reason why The Wanted can't have a place in boyband history. Good luck to them.
"We can all get together and make boybands something where everyone goes, 'Ahh'. The Wanted are fantastic. They've been working for a very long time trying to make it happen.
"It's amazing when somebody finally gets the goal that they wanted to achieve all their lives."
JLS returned to The X Factor last night to perform their new single 'Love You More', alongside Westlife and Take That.
"It's incredible for us to be sharing the stage with two of the biggest boybands ever produced," Humes added.
> JLS Marvin: 'Rochelle's an incredible girl'
