DES MOINES, Iowa--Massachusetts Gov. Michael Dukakis lectured Tennessee Sen. Albert Gore Jr. '69 to "get your facts straight," but six Democratic presidential hopefuls generally were in harmony yesterday in supporting sweeping arms control agreements and an end to military aid to Nicaraguan rebels.

The sharp exchange between Gore and Dukakis came during a two-hour debate before an arms control group that mainly featured sharp attacks on President Reagan and gentle jabs among the six Democrats who said they were struggling "for the direction of the Democratic Party."

Gore and Dukakis began their feud at a Democratic debate at the Iowa State Fair last month, with Gore demanding more specifics about Dukakis' economic policies. Yesterday, Gore criticized Dukakis for advocating the withdrawal of American troops from South Korea.

"I never made that proposal," Dukakis retorted. "I never suggested that."

Gore later branded that proposal as "wildly unrealistic," and Dukakis continued to insist after the debate that he never made such a proposal, insisting he only wanted to push for more democratic freedoms in South Korea.

"I didn't spend 16 months of my life in Korea so a bunch of Korean generals could deny human and labor rights to the people of Korea," Dukakis argued.

"I hate to interrupt this dialogue between Al and Mike here," interjected Illinois Sen. Paul Simon, as he struggled to make a point during an argument between the other two rivals.

After the debate, Gore said he was working tocarve out a moderate image that Democrats need ifthey're to regain the White House in 1988.

"We have to have a candidate who can win," Goresaid. "The American people know that some of thoseideas that were thrown around this afternoon arejust wildly unrealistic."

The exchange came as the Democrats called forarms control agreements far beyond the oneexpected to be signed this fall, although theproposed treaty to eliminate medium range nuclearmissiles from Europe received grudging support.

All six Democratic candidates pushed for deepcuts in funding for Nicaraguan rebels. Only Gorewas willing to back any funding for the Contrarebels, and would limit that to humanitarianassistance.

"I would go beyond the agenda of deep missilecuts," said former Arizona Gov. Bruce Babbitt,hitting the administration for "an atmosphere ofsuspicion and paranoia."

"It's not the technology that's the problem,it's the willpower," Babbitt said.

"I want this nation to be tough and strong andinvolved," said Dukakis. "But I want this nationto be tough and strong and involved for the rightreasons."

"There are important signs the world is comingto its collective senses," Dukakis said. "We're[the U.S.] beginning to understand we can'toperate like a lonesome cowboy anymore."