Find the smallest number which, when increased by 1 is exactly divisible by 12, 18, 24, 32, and 40.
Let us find out the L.C.M. of 12, 18, 24, 32, and 40
L.C.M.
= 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1440
1440 = 1439 + 1
Hence, 1439 is the smallest number which, when increased by one is exactly divisible by the given numbers.