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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.