Example 14 - Find least number which when divided by 12, 16, 24 and 3

Example 14 - Chapter 3 Class 6 Playing with Numbers - Part 2

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Example 14 Find the least number which when divided by 12, 16, 24 and 36 leaves a remainder 7 in each case. Least number when divided by 12, 16, 24, 36 & leaves remainder 0 = LCM of 12, 16, 24, 36 So, LCM leaves remainder 0 Now, in the question We are asked smallest number which leaves remainder 7 So, Required number will be 7 more than LCM ∴ Required number = LCM + 7 Finding LCM of 12, 16, 24, 36 ∴ LCM = 2 × 2 × 2 × 2 × 3 × 3 = 16 × 9 = 144 So, Required Number = LCM + 7 = 144 + 7 = 151

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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.