By using a generalization of the Lawrence-Doniach free-energy functional, we calculate in this work the fiuctuation-induced diamagnetism above the superconducting transition, AX, in a layered superconductor having two different interlayer distances, dt and d2, in the superconducting layer periodicity length, s=d, +d2, and two different Josephson-coupling strengths, 7t and Y2, between adjacent superconducting layers. The calculations are performed in the weak magnetic field limit. We include in our treatment the possibility of an unconventional superconducting pairing by considering in each plane a superconducting wave function of g complex components. For the first time, AX in a multiperiodic layered superconductor is obtained explicitly, as a function of the coherence length amplitudes, ofg and of 71 and 72-Our results show that by introducing an effective number, N., of independent fluctuating layers in the layer periodicity length, it is possible to express AX in terms of the fluctuation-induced diamagnetism for one-single periodicity layered superconductor, with the same periodicity length s =dr +d2. As an example of their interest, these theoretical results for the superconducting-order parameter fluctuations above Tc are used to quantitatively analyze the existing experimental Ax(T) data in the mean-field-like region, measured in the weak magnetic field limit in single crystals of two different copper oxide systems having two Josephson coupled superconducting CuO2 planes in y. The Y t Ba2Cu30~ _j and the Bi2Sr2Ca]Cu208 compounds.