Statement questions on LCM

Chapter 3 Class 6 Playing with Numbers
Concept wise

Smallest Number which divides 2, 4, 6 and leaves remainder 0

= LCM of 2, 4, 6

= 12

We need to find the greatest 3-digit number which will divide 2, 4, 6

Greatest 3 digit number = 999

We divide 999 by 12

So remainder is 3

But we need to find a number where remainder is 0.

So, 996 is the greatest 3 digit number

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### Transcript

What will be the greatest 3-digit number which divides 2, 4, 6 and leaves remainder 0? Smallest Number which divides 2, 4, 6 and leaves remainder 0 = LCM of 2, 4, 6 = 12 We need to find the greatest 3-digit number which will divide 2, 4, 6 Greatest 3 digit number = 999 We divide 999 by 12 So remainder is 3 But we need to find a number where remainder is 0. Required number = 999 3 = 996 So, 996 is the greatest 3 digit number

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.