* LME copper stocks at highest since May

* Fed, BOE, ECB all hold interest rates

* Aluminium inventories dip

(Recasts, updates prices, market activity to close)

By Carole Vaporean and Michael Taylor

NEW YORK/LONDON, Nov 5 (Reuters) - Copper remained lower into late trade on Thursday, hit by another jump in inventories that renewed concerns about weak demand for the red metal and whether Chinese buying will continue as prices rise.

Some analysts said copper's gains above key psychological targets worried some players that prices may have gone "too far, too fast" and used the first hint of overbought conditions as an opportunity to sell.

Copper for three-months delivery MCU3 on the London Metal Exchange ended at $6,530 a tonne from $6,570 on Wednesday. The red metal hit a session low of $6,485.

A day earlier it surpassed the $6,600 a tonne level and set a high at $6,630 a tonne. Some players read that move as renewed attempts to reach the 13-month top set last week.