Ex 3.7, 4 - Determine smallest 3-digit number which is divisible by 6

Ex 3.7, 4 - Chapter 3 Class 6 Playing with Numbers - Part 2
Ex 3.7, 4 - Chapter 3 Class 6 Playing with Numbers - Part 3

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Transcript

Let’s first find smallest number divisible by 6, 8, 12 Smallest number divisible by 6, 8, 12 = LCM of 6, 8, 12 LCM of 6, 8, 12 So LCM = 2 × 2 × 2 × 3 = 24 ∴ 24 is the smallest number divisible by 6, 8, 12 Now, We need to find smallest 3-digit number divisible by 6, 8, 12 Smallest 3 digit number = 100 We divide 100 by 24 So remainder is 4 But we need to find a number where remainder is 0. ∴ Required number = 100 + (24 − 4) = 100 + 20 = 120 So, 120 is the smallest 3 digit number

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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.