What is the smallest positive integer that is divisible by all 45, 60 and 75?
Show answer & explanation
Correct answer: D
Explanation
45 = 3² × 5
60 = 2² × 3 × 5
75 = 3 × 5²
In LCM take the highest power of each prime factor:
LCM=2²×3²×5²
=4×9×25
=900
Hence the smallest positive integer: 900