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Question : The LCM of $\frac{1}{3}, \frac{3}{5}, \frac{4}{7}$ and $\frac{9}{16}$ is:

Option 1: 36

Option 2: 49

Option 3: 38

Option 4: 81


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 36


Solution : Given: $\frac{1}{3}, \frac{3}{5}, \frac{4}{7}$ and $\frac{9}{16}$
We know that,
LCM of a fraction = $\frac{\text{LCM of the numerators}}{\text{HCF of the denominator}}$
LCM of 1, 3, 4 and 9 is 36
HCF of 3, 5, 7 and 16 is 1
LCM of a fraction = $\frac{36}{1}$
= 36
Hence, the correct answer is 36.

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