The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32, 35 is.

LCM of 20, 28, 32, 35 will be the greatest number which is divisible by these numbers. Firstly, we find LCM of 20, 28, 32, 35 20 = 2 × 2 × 5 28 = 2 × 2 × 7 32 = 2 × 2 × 2 × 2 × 2 35 = 5 × 7 LCM = 2 × 2 × 2 × 2 × 2 × 5 × 7 = 1120 Required greatest number which subtract from 5834 are divide by 20, 28, 32 and 35 = 5834 - 1120 = 4714