Find LCM of ​$$\frac{3}{8},\frac{2}{6},\frac{4}{7}$$​

Correct option is D

Concept/Formula Used:

The LCM of fractions is calculated using the formula:

$$\text{LCM of Fractions} = \frac{\text{LCM of Numerators}}{\text{HCF of Denominators}}$$​​

Step 1: Identify the Numerators and Denominators:

Given fractions: ​$$\frac{3}{8}, \frac{2}{6}, \frac{4}{7}$$​​
- Numerators: 3, 2, 4
- Denominators: 8, 6, 7

Step 2: Calculate LCM of Numerators:

The LCM of 3, 2, and 4 is:

LCM of (3, 2, 4) = 12

Step 3: Calculate HCF of Denominators:

The HCF of 8, 6, and 7 is:

HCF(8, 6, 7) = 1  (as 8, 6, and 7 are co-prime).}

Step 4: Calculate LCM of Fractions:

Using the formula:

$$\text{LCM of Fractions} = \frac{\text{LCM of Numerators}}{\text{HCF of Denominators}}$$​​

Substitute the values:

$$\text{LCM of Fractions} = \frac{12}{1} = 12$$​​

Correct Answer:

(D) 12