Chan, who was born in Hong Kong to British parents, impressed the judges with her performances of Beethoven’s Egmont Overture, Stravinsky’s Symphony in Three Movements and Rimsky-Korsakov’s Scheherazade.
She is the first woman to win the competition, which has taken place every two years since 1990.
Her prize includes £15,000 prize money and a year-long post as assistant conductor of the LSO.
His Royal Highness The Prince of Wales, patron of the competition, presented Chan with her prize.
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