(For a Reuters live blog on U.S., UK and European stock markets, click LIVE/ or type LIVE/ in a news window) * FTSE 100 down 0.3%, FTSE 250 off 0.2% June 3 (Reuters) - London’s FTSE 100 index edged lower on Thursday, dragged by B&M European Value Retail on downbeat earnings outlook and National Grid on ex-dividend trading, while investors awaited services sector activity data due later in the day. The blue-chip index fell 0.3%, with B&M European Value Retail dipping 4.4% to the bottom of the index, after the discount retailer forecast trading to remain volatile this year and organic growth to likely decline. Grid operator National Grid slipped 3.9% as it traded ex-dividend. The domestically focused mid-cap FTSE 250 index declined 0.2%, easing from a record high scaled in the previous session. After data showed a record increase in manufacturing activity last month, focus now turns towards IHS Markit’s services sector PMI due at 0830 GMT. Workspace Group dropped 3.2%, after the office-space provider slipped into its first annual loss in 12 years as it suffered from a slump in rental prices and lost around 10% of customers struggling with the fallout of the pandemic. (Reporting by Devik Jain in Bengaluru; Editing by Subhranshu Sahu) Our Standards: The Thomson Reuters Trust Principles.