The smallest six-digit number that is divisible by 12, 16, 24, and 28 is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 100128.
LCM of 12, 16, 24, 28:
12 = 22 × 3
16 = 24
24 = 23 × 3
28 = 22 × 7
LCM = 24 × 3 × 7 = 336
Smallest 6-digit number = 100000
100000 ÷ 336 = 297.61 → next integer = 298
Required number = 298 × 336 = 100128