(Adds troops killed in Anbar province) BAGHDAD, July 2 (Reuters) - Four U.S. soldiers and one Marine were killed in various attacks in Iraq on Sunday, the U.S. military said on Monday. It said two soldiers and one Marine were killed in western Anbar province. The military also said one soldier was killed by small arms fire in southern Baghdad. Another was killed by gunfire that followed a roadside bomb attack on his patrol in western Baghdad. Two Iraqi policemen were also wounded in that attack. June was costly for U.S. forces, with 101 soldiers and Marines killed. That made the April-June quarter the bloodiest since the U.S.-led invasion in 2003. Around 3,580 American soldiers have been killed in Iraq. Many tens of thousands of Iraqis have also lost their lives.