What is the smallest positive integer that is divisible by all 18, 24 and 30?
Show answer & explanation
Correct answer: C
Explanation
The smallest positive integer divisible by 18, 24 and 30 will be their least common multiple (LCM).
18 = 2 × 3²
24 = 2³ × 3
30 = 2 × 3 × 5
LCM = 2³ × 3² × 5 = 8 × 9 × 5 = 360
Hence the correct option is 360.