Question

Find the greatest four digit number that is exactly divisible by 12, 18, 40 and 45.

Answer 1

Answer:

9720

Step-by-step explanation:

Lets first find LCM of all the numbers

12 = 2 * 2 * 3

18 = 2 * 3 * 3

40 = 2 * 2 * 2 * 5

45 = 3 * 3 * 5

LCM = 2*2*2*3*3*5 = 360

360 is LCM

greatest 4 digit number = 9999

when divided by 360 = 27.775

so 360 * 27 will be greatest 4 digit number

9720