The smallest fraction that each of $$\frac{5}{14},\frac{6}{7}$$​ and $$\frac{10}{21}$$​ will divide exactly is:

Correct option is B

Given:

The fractions are $$\frac{5}{14}, \frac{6}{7}, \frac{10}{21}.$$​​

Concept Used:

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

Solution:

LCM of fractions $$= \frac{\text{LCM(5,6,10)}}{\text{HCF(14,7,21)}} = \frac{30}{7}$$