The pilot of the plane was among three people injured, though the lone stewardess escaped unhurt.
The crash occurred while the plane, a Twin Otter belonging to Summit Air, was trying to take off from Lukla for Kathmandu on Sunday morning, said aviation official Raj Kumar Chhetri.
The aircraft had hit the helicopters of Manang Air and Shree Air.
A police official was among those killed and the injured have been airlifted to Kathmandu for treatment, according to The Himalayan Times (HT).
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Assistant Sub-Inspector Rudra Bahadur Shrestha, who was injured in the crash and airlifted to Kathmandu, died while undergoing treatment at Grande Hospital, the paper said, citing hospital sources.
The incident took place as the aircraft lost control on the runway while preparing to take off and hit two parked helicopters.
Summit Air's pilot Captain RB Rokaya and flight attendant R Lama are safe.
Hundreds of foreign climbers head to Mount Everest in April during the commercial expedition season, which lasts until May. Both are private airline firms that cater to tourists and Nepalese in the country's remote areas.
Air crashes are common in mostly mountainous Nepal, home to eight of the world's 14 highest mountain peaks, including Mount Everest. The airfield is notorious for its short runway and perilous approach, sitting at an elevation of over 2,800 meters.