Three teenagers have been charged over a spate of crimes across Melbourne.

The teenage boys allegedly targeted properties in the city's north and south-east over the past week, committing a string of burglaries and aggravated burglaries.

The crime spree started on Saturday with an aggravated burglary in Malvern in which two cars were stolen, and ended on Thursday morning when the three boys were arrested at an Epping shopping centre following a 30-kilometre pursuit from police.

Police arrested teenage boys over a spate of crimes throughout Melbourne.

Two 17-year-olds from Bundoora and Mill Park and a 15-year-old from Thomastown were charged with conduct endangering life, aggravated burglary, theft of a motor vehicle and evading police.