Question

Find the greatest 3 digit number which is exactly divisible by 8, 20 and 24

Answer 1

Hi ,

Find the LCM of 8 , 20 , 24

2| 8 , 20 , 24
___________
2| 4 , 10 ,12
___________
2| 2 , 5 , 6
___________
1 , 5 , 3

LCM ( 8 , 20 , 24 ) = 2×2×2×5×3

= 120

Greatest 3 digit number which is

exactly divisible by 8 , 20 ,24 is

multiple of 120

8 × 120 = 960

9 × 120 = 1080

But , Required 3 digit number = 960

I hope this helps you.

: )