Donald J. Trump leads President Biden in five crucial battleground states, a new set of polls shows, as a yearning for change and discontent over the economy and the war in Gaza among young, Black and Hispanic voters threaten to unravel the president’s Democratic coalition.

The surveys by The New York Times, Siena College and The Philadelphia Inquirer found that Mr. Trump was ahead among registered voters in a head-to-head matchup against Mr. Biden in five of six key states: Michigan, Arizona, Nevada, Georgia and Pennsylvania. Mr. Biden led among registered voters in only one battleground state, Wisconsin.

The race was closer among likely voters. Mr. Trump led in five states as well, but Mr. Biden edged ahead in Michigan while trailing only narrowly in Wisconsin and Pennsylvania. While Mr. Biden won all six of those states in 2020, victories in Pennsylvania, Michigan and Wisconsin would be enough for him to win re-election, provided he won everywhere else he did four years ago.