The average flight time from the Canary Islands to the United Kingdom is between 4 hours and 4 and a half hours depending on how far north your destination in the UK is. A flight from Lanzarote to Glasgow Prestwick will take about 4h 20 mins.
There are multiple airlines that will fly into Lanzarote. The prices of the flight will vary depending on the airport that is used to fly out of. One of the cheapest airlines is British Airways.
Glasgow has 2 airports; Glasgow international (near paisley) and Glasgow prestwick (near prestwick in ayrshire). easyjet and flybe offer a service to Amsterdam from Glasgow intl. but there are no services to Amsterdam from prestwick. it will take you about 1 hour at least and 2 hours at most.