Question : Which is the least number divisible by 6, 18, 20, and 32?
Option 1: 108
Option 2: 640
Option 3: 1440
Option 4: 360
Answer (1)
5th Jan, 2024
Correct Answer: 1440
Solution :
The least number divisible by 6, 18, 20 and 32 is their least common multiple (LCM).
Factors of 6 = 2 × 3
Factors of 18 = 2 × 3 × 3
Factors of 20 = 2 × 2 × 5
Factors of 32 = 2 × 2 × 2 × 2 × 2
$\therefore$ The LCM of 6, 18, 20, and 32 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1440
Hence, the correct answer is 1440.
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