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# Find the least number which when divided by 18, 24, 32 leaves the remainder 4, 10 and 18 respectively.

 A) 274 B) 218 C) 284 D) 270

 A) 274

18, 24, 32

18-4=14, 24-10=14, 32-18=14

LCM of 18, 24, 32 is 288

$$\Large \frac{18,\ 24,\ 32}{2},\ \frac{9,\ 12,\ 16}{3},\ \frac{3,\ 4,\ 16}{4} = 3,\ 1,\ 4$$

Required number is 288 - 14 = 274

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

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