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In lattice every two elements having least upper bound and greatest lower bound .

So in each sublattice also least upper bound element and greatest lower bound element is compulsory needed.

D24={1,2,3,4,6,8,12,24}

lattice is 

Sublattices are ={1,2,4,8,24}

{1,3,6,12,24}

{1,2,4,12,24}

{1,2,6,12,24}

Hence total of 4. 

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