(Stefan Rousseau/PA via AP).
May, who faced criticism for slow public reaction to the fire, said on Twitter that her thoughts were with the 800 households being evacuated from a group of tower blocks in north London on Friday evening.
"It's obviously a tragedy and scandal in west London at the Grenfell Tower but it's now emerging as a picture of a national scandal".
The decision to evacuate the buildings came after apartment blocks across Britain were inspected to see if they had similar fire hazards as the Grenfell Tower.
She said: "At the end of today, they told us they could not guarantee our residents' safety in those blocks and so I have made the really, really hard decision to move the people living there into temporary accommodation while we do the urgent works to guarantee safety".
The Chalcots estate has five tower blocks - four 22 storey blocks and one 18 storey block. Public attention has focused on the external cladding material blamed for the rapid spread of that blaze - but now it appeared that multiple other fire risks have been identified in some blocks.
Twenty-seven high-rise blocks of flats in 15 local authority areas have failed fire cladding safety tests, the Government has said.
Residents packed their bags and left following a snap decision by the Camden Council local authority, a few hours before midnight Friday.
A letter sent to residents by the council warns them they need to be moved from homes for "between three and four weeks".
Carrie Fisher had multiple drugs in her system when she died
She became unresponsive after suffering a cardiac arrest on December 23 while on a flight from London to Los Angeles. Fisher died on December 27, four days after going into cardiac arrest on an airplane arriving at LAX from London.
"I was told at 5pm that those blocks weren't safe". Some others were offered hotel rooms for the night.
The council has been booking hotels across London and the works are expected to take up to four weeks.
Many residents complained of a lack of information and confusion.
Camden Council said officials were going door-to-door one at a time for safety reasons, starting at Taplow then working through Burnham, Bray, Blashford and Dorney. Some of the residents, however, said that they were not informed of the evacuation. and that the first they heard of it was on the news. We will not be evacuating the tower, and if any residents have already gone to temporary accommodation they can return home either tonight or in the morning.
"It's unbelievable. I understand that it's for our safety but they can't just ask us to evacuate with such short notice".
She said the government was "offering every support we can" to residents and officials working at the estate.
Carl McDowell, 31, said he took one look at the inflatable beds on the gym floor and went back to his Taplow apartment to sleep there overnight.
On Friday, police said they were considering filing manslaughter charges in the Grenfell incident.
"We are looking at every criminal offence from manslaughter onwards", Detective Superintendent Fiona McCormack told reporters.
The Department for Business, Energy and Industrial Strategy has urged owners of the FF175BP model to contact Hotpoint after police revealed that the cause of the blaze. The fire was not started deliberately, they said.
Hotpoint said Friday that "words can not express our sorrow at this bad tragedy" and added it was working with authorities to examine the appliance.
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