The LCM of $$\frac{3}{2}, \frac{4}{6}, \frac{5}{8} and\ \frac{6}{10}$$​ is:

Correct option is B

Given:

Number given are $$\frac{3}{2}, \frac{4}{6}, \frac{5}{8} and\ \frac{6}{10}$$​​

Formula Used:

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

Solution:

Standard fraction are:

​$$\frac{4}{6}=\frac{2}{3}$$​ 

​$$\frac{6}{10}= \frac{3}{5}$$​  

​$$LCM \ of \ (\frac{3}{2}, \frac{2}{3}, \frac{5}{8}, \frac{3}{5}) = \frac{LCM\ of\ 3,2,5,3}{HCF\ of\ 2,3,8,5}$$​ 

LCM of 3, 2, 5, 3

LCM =$$2 \times 3 \times 5$$​= 30

HCF of 2, 3, 8, 5 =1 (No common factors)

​$$LCM \ of \ (\frac{3}{2}, \frac{4}{6}, \frac{5}{8} \ and \ \frac{6}{10}) = \frac{30}{1} =30$$​​