No LED lights could do this adequately, let alone work lights. You can of course adjust the colour balance but that isn't the point. It's the colour rendition index that matters, and with discontinuous spectrum lights such as LED, the CRI falls far short of what's needed for accurate colour reproduction - essential for paintings.
So, use flash instead. Studio flash would be easier and better, but even small flashguns would be a big improvement.
You'll need two, each fitted with an identical softbox that's larger than the painting. With the camera on a tripod and dead square to the canvas, position each softbox at 45 degrees to the canvas and at the same distance.
Everything can be bought second hand.