What is the smallest positive integer that is divisible by all 5, 8, 9 and 10?
Show answer & explanation
Correct answer: C
Explanation
5 = 5
8 = 2³
9 = 3²
10 = 2 × 5
Taking the highest power of each prime factor in LCM
2³,3²,5
LCM = 2³ × 3² × 5
= 8 × 9 × 5
= 360