The National Disaster Mitigation Agency had said more than 680 people were stranded on Rinjani, an active volcano, based on figures from its entry gates where visitors are registered.
Hundreds of tourists stranded on Mount Rinjani on the Indonesian island of Lombok by an natural disaster that killed 16 people and triggered landslides are making their way off the mountain, shaken by their experience but mostly unharmed, an official said Monday.
A rescue team was escorting six other trekkers down from Lake Segara Anak near Rinjani's summit.
The spokeswoman was unable to immediately confirm whether the Britons were rescued from the mountain.
More than 335 people have been injured, Reuters reported, mostly by buildings collapsed during the quake.
The rescuers managed to recover the corpse of Muhammad Ainul Taksin, a 26-year-old Thai hiker, who died of head injuries.
"Our thoughts are with the people of Indonesia during this hard time, and I wish the injured a speedy recovery".
Her father, Ismail Abdul Raffar, said his son-in-law Mohd Hafiz Kassim, 30, had left for Lombok at 8am to settle matters there. "I saw people fall off, but it's a blur".
Hikers were able to start climbing down on Monday after guides discovered an alternate route that was unaffected by the landslides. "They are all healthy and safe".
I Gusti Lanang Wiswananda, a spokesman for Mataram search and rescue agency, told AFP that they were all "tired but in good condition".
The rescuers were also working on evacuating another six climbers and one dead body early Tuesday.
As more than 100 aftershocks continued to rock the popular tourist destination, falling debris caused several fatalities, while landslides blocked the paths down Mount Rinjani.
The toll of the quake, which killed 16 people and left hundreds of others homeless, is still being counted across the rest of the popular tourist spot.
On Sunday, the Foreign Affairs Ministry confirmed that one Malaysian died and six others were injured from the natural disaster.
A total of 7,593 people are staying in temporary shelters, according to officials.
The volcano, which rises 3,726m (12,224ft) above sea level and is the second-highest one in Indonesia, is a favourite among sightseers.