Light emitting diode (LED) constructions comprise an LED having a pair of electrical contacts along a bottom surface. A lens is disposed over the LED and covers a portion of the LED bottom surface. A pair of electrical terminals is connected with respective LED contacts, are sized larger than the contacts, and connect with the lens material along the LED bottom surface. A wavelength converting material may be interposed between the LED and the lens. LED constructions may comprise a number of LEDs, where the light emitted by each LED differs from one another by about 2.5 nm or less. LED constructions are made by attaching 2 or more LEDs to a common wafer by adhesive layer, forming a lens on a wafer level over each LED to provide a rigid structure, removing the common wafer, forming the electrical contacts on a wafer level, and then separating the LEDs.