Question : The least common multiple of a and b is 42. The LCM of 5a and 11b is:
Option 1: 2310
Option 2: 4620
Option 3: 210
Option 4: 462
Correct Answer: 2310
Solution :
The least common multiple of a and b is 42
According to the question,
LCM(a, b) = 42
LCM(5a, 11b) = LCM of {LCM(5,11)(a,b)}
LCM(55, 42) = 55 × 42 = 2310
Hence, the correct answer is 2310.
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