What is the LCM of $$\frac{3}{8},\frac{9}{20}$$​ and $$\frac{15}{16}$$​?

Correct option is A

Given:

Fractions:$$\frac{3}{8}, \frac{9}{20}, \frac{15}{16}$$​​

Concept Used:

LCM of fractions =$$\frac{\text{LCM of numerators}}{\text{HCF of denominators}}$$​

Solution:
Numerators: 3, 9, 15
LCM(3, 9, 15) = 45

Denominators: 8, 20, 16
Prime factors:

8 = $$2^3$$​​

20 = $$2^2 \times 5$$​​

16 = $$2^4$$​​
HCF =$$2^2 = 4$$​​

Now:

LCM of fractions = $$\frac{45}{4}$$​