# SOLUTION: The sum of the digits in the smallest positive integer that is divisible by 2, 4, 6, 10, 12, and 14 is: (A) 3 (B) 6 (C) 9 (D) 15 (E) 18

Algebra ->  Algebra  -> Divisibility and Prime Numbers -> SOLUTION: The sum of the digits in the smallest positive integer that is divisible by 2, 4, 6, 10, 12, and 14 is: (A) 3 (B) 6 (C) 9 (D) 15 (E) 18      Log On

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 Click here to see ALL problems on Divisibility and Prime Numbers Question 277966: The sum of the digits in the smallest positive integer that is divisible by 2, 4, 6, 10, 12, and 14 is: (A) 3 (B) 6 (C) 9 (D) 15 (E) 18Answer by Edwin McCravy(8908)   (Show Source): You can put this solution on YOUR website!``` 2 = 2 4 = 2 x 2 6 = 2 x 3 10 = 2 x 5 12 = 2 x 2 x 3 14 = 2 x 7 LCM = 2 x 2 x 3 x 5 x 7 = 420 The smallest such number is their LCM, or 420 So the sum of the digits is 4 + 2 + 0 = 6, choice (B) Edwin```