Find the smallest number of five digits exactly divisible by 16,24,36 and 54.

      Smallest number of five digits is 10000.

      Required number must be divisible by L.C.M. of 16,24,36,54 = 432,

      On dividing 10000 by 432,we get 64 as remainder.

      Required number = 10000 +( 432 – 64 ) = 10368.