Unfortunatelly bootstrap-slider.js can "handle" only two handles. But noUiSlider can have more of them and is highly customizable.
It can't tell you the ranges rightaway, but you can get them easily from counting with handles, min and max like this:
//get array of connect elements (ranges)
var connect = multirange.querySelectorAll('.noUi-connect');
multirange.noUiSlider.on('update', function () {
var valuesarr = multirange.noUiSlider.get(),
max = multirange.noUiSlider.options.range.max[0],
oldsum = multirange.noUiSlider.options.range.min[0];// = slider min, will be usually 0
for ( var i = 0; i < connect.length; i++ ) {
if(valuesarr[i]) $(connect[i]).text(valuesarr[i] - oldsum);
else $(connect[i]).text(max - oldsum);
oldsum=valuesarr[i];
}
});