Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. (Ans:999720)
Ans: LCM of 24, 15, 36
LCM = 3 × 2 × 2 × 2 × 3 × 5 = 360
Now, the greatest six digit number is 999999
Divide 999999 by 360
∴ Q = 2777 , R = 279
∴ the required number = 999999 - 279 = 999720