The L.C.M. of $$\frac{2}{3},\frac{3}{4},\frac{4}{5},\frac{9}{11}$$​ is:

Correct option is D

Given:

Fractions: $$\frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{9}{11}$$​​

Formula Used:

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

Solution:

LCM $$=\frac{\text{LCM of 2,3,4,9}}{\text{HCF of 3,4,5,11}} = \frac{36}{1} = 36$$​