The smallest number, which when increased by 5 is divisible by each of 24, 32, 36 and 54, is?

859 869 4320 427

859

Required number = (LCM of 24, 32, 36 and 54) - 5 LCM = 2 × 2 × 2 × 3 × 3 × 4 × 3 = 864 Required number = 864 - 5 = 859