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
Answer (1)
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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