Question

Let's find the least number, that must be subtracted from 5834, so that the result is divisible by 20,28,32 and 35.​

Answer 1

Step-by-step explanation:

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