The double Olympic champion crossed the line first in today's 3000m race at the Olympic stadium in Stratford.
He won with a time of seven minutes and 36 seconds - a personal best. The latest win comes before he heads to the World Championships in Moscow in August.
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The results of the first preference votes counted so far gives an early indication that Mr Khan is line to take power at City Hall.
Mr Goldsmith's campaign, run by Sir Lynton's communications firm has come under fire from Labour.