Question

29. Find the greatest 3 digit number which is divisible by 12,18 and 24.​

Answer 1

Step-by-step explanation:

The greatest 3 digit number is 999

We need to find the LCM of 12,18 and 24

12 =2×2×3

18=2×3×3

24=2×2×2×3

LCM of 12,18 and 24= 2×2×2×3×3=72

999=72×13+63

Here, remainder is 63.

Therefore, the greatest 3-digit number which is divisible by 12 ,18 and 24 =72×13=936