Question

Find the greatest number of five digts exactly divisible by 9, 12, 15, 18 and 24.​

Answer 1

Step-by-step explanation:

Find the least common multiple of 9,12,15,18 and 24

3|9,12,15,18,24

2|3,4,5,6,8

3|3,2,5,3,4

2|1,2,5,1,4

2|1,1,5,1,2

|1,1,5,1,1 So L.C.M. is 3×2×3×2×2×5 =>

L.C.M. of 9,12,15,18 and 24 is 360. Greatest five digit number is 99,999. Divide it by 360 we get 279 as remainder so subtract 279 from 99999 we get 99720 which is the greatest five digit number divisible by 9,12,15,18 and 24. Hope it helps you.