Find the L.C.M. of $$\tfrac{4}{5},$$​ $$\tfrac{3}{8}$$​ and $$\tfrac{9}{8}$$​.

Correct option is A

Given:

L.C.M. of $$\tfrac{4}{5},$$​​ $$\tfrac{3}{8}$$​​ and$$\tfrac{9}{8}$$​. 

Concept Used: 

LCM of any fraction = $$\frac{ LCM \ of \ numerator } { HCF \ of \ denominator}$$  

Solution: 

​L.C.M. of $$\tfrac{4}{5},$$​​​ $$\tfrac{3}{8}$$​​​ and$$\tfrac{9}{8}$$​​.   

LCM = $$\frac{ LCM \ of \ 4 , 3, 9}{HCF \ of \ 5 , 8 , 8 } = \frac{36}{1}$$  = 36 ​