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The molecule with the highest molar mass (and so size and number of electrons) has the highest polarisability so the electrons in the electron cloud can easily be distorted so it has the strongest london dispersion interactions.
Essentially, if both have LDF as their chiefs intermolecular force, the one that is larger or more polarizable will have a stronger LDF. Another way to push this is to say that the one with a larger molar mass will have stronger London Dispersion Forces. This means that as you go down in group, it will almost always have an increase in LDF.
London dispersion forces increase in strength with increasing polarizability of the molecule. The polarizability of a molecule increases with the number of electrons, therefore the larger molecule will have stronger London Dispersion force.
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