You can desolder it and measure the individual linings/windings, you need a henry meter for it, you can check that the windings hasn't shorted to another one with a ohm meter though.
There is one out for every in, from the picture it looks like it's three windings, meaning 6 pins are used.
if you look under the component you would be able to see where they are connected, there should be no galvanic connection between the windings.
But I doubt this is the culprint, some of these have wires that are thicker and have more area then some of the traces meaning the traces burn of long before the winding does.
Should note that some of these I have seen do connect inside the the windings and are built that way, but it's unusual, giving false indication of a faulty component.
Usually these are hard to read from what it says on the top, even for the industry and this is most likely custom made and they are very easy for them to do when they want them in a couple thousand unlike custom ICs that costs enormous amounts of money to make.
They are usually called SMD Power Choke Coil (yes these are usually called coil even they have more then one lining/winding and should be called transformer) more like a collective name for all of them, the package is a standard one but isn't registred as one so it has no name in general, very confusing for PCB CADers.
They are used for transforming the voltage up or down and used most for switched AC adapters after the big transformer in the low voltage area (but can transform up to high voltages, but with little ampere) or in the backlight unit for screens, the later is probably what it's used for in the LT.
