  We investigate the relationship between locally maximally entangleable (LME)
states and W-type states which are equivalent to a W state under stochastic
local operations and classical communication (SLOCC). We prove that (i) some
special W-type states of three qubits are LME; and (ii) no W-type state of four
and more qubits is LME. Our results show that the W state of four and more
qubits cannot be prepared by using LME states under SLOCC. However, for three
qubits some special LME states can be used to prepare the W state under SLOCC.
