  This paper provides a new construction of \Lambda-coalescents called "measure
division construction". This construction is pathwise and consists of dividing
the characteristic measure \Lambda into several parts and adding them one by
one to have a whole process. Using this construction, a "universal"
normalization factor \mu^{(n)} for the randomly chosen external branch length
T^{(n)} has been discovered for a class of coalescents. This class of
coalescents covers processes similar to Bolthausen-Sznitman coalescent, the
coalescents without proper frequencies, and also others.
