![Ex 3.7, 5 - Chapter 3 Class 6 Playing with Numbers - Part 2](https://cdn.teachoo.com/130dfb08-cbed-44f7-b633-c6eb8b332b44/3.7,-5---2.jpg)
![Ex 3.7, 5 - Chapter 3 Class 6 Playing with Numbers - Part 3](https://cdn.teachoo.com/385947be-69c0-427f-9a8e-d7d3899dbc5c/3.7,-5---3.jpg)
Last updated at Dec. 16, 2024 by Teachoo
Lets find smallest number divisible by 8, 10, 12 Smallest number divisible by 8, 10, 12 = LCM of 8, 10, 12 LCM of 8, 10, 12 So LCM = 2 × 2 × 2 × 3 × 5 = 120 ∴ 120 is the smallest number divisible by 8, 10, 12 Now, We need to find greatest 3-digit number divisible by 8, 10 and 12 Greatest 3 digit number = 999 We divide 999 by 120 So remainder is 39 But we need to find a number where remainder is 0. ∴ Required number = 999 − 39 = 960 So, 960 is the greatest 3 digit number