Question : What is the smallest integer that is divisible by 12, 22 and 32?
Option 1: 1056
Option 2: 1080
Option 3: 1144
Option 4: 444
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Correct Answer: 1056
Solution :
12 = 2 × 2 × 3
22 = 2 × 11
32 = 2 × 2 × 2 × 2 × 2
The smallest integer that is divisible by 12, 22 and 32
= LCM of 12, 22 and 32
= 2 × 2 × 2 × 2 × 2 × 3 × 11
= 1056
Hence, the correct answer is 1056.
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