Car carrying 6 children in three-way crash

A woman with six children in her car has been taken for mandatory blood and alcohol testing after she apparently drove into the back of two other cars in Sydney's west.

Police say three of the children were taken to hospital with minor injuries after the incident in Richmond on Tuesday afternoon and the 32-year-old woman was also hospitalised with back injuries.

They're believed to be in a stable condition while the two other drivers involved were not injured.