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# The least number which when divided by 12, 1`5, 18 and 35 leaves the remainder 9 in each case is

 A) 1229 B) 1239 C) 1279 D) 1269

 D) 1269

LCM of 12, 15, 18, 35 is 1260

$$\Large \frac{12,\ 15,\ 18,\ 35}{2},\ \frac{6,\ 15,\ 9,\ 35}{3},\ \frac{2,\ 5,\ 3,\ 35}{5} = 2,\ 1,\ 3,\ 7$$

Required number is 1260 + 9 = 1269

Part of solved LCM and HCF questions and answers : >> Elementary Mathematics >> LCM and HCF

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