Question

Find the LCM of 2/3 and 6/7.

• A. 6/21
• B. 12/21
• C. 2/21
• D. 6

Answer 1

Answer:

D. 6

To find the LCM (Least Common Multiple) of fractions, you can use the following formula:

LCM of fractions = LCM of numerators / HCF of denominators

Here's how to apply it to 2/3 and 6/7:

1. LCM of numerators:

   • LCM of 2 and 6 is 6.

2. HCF of denominators:

   • HCF of 3 and 7 is 1 (they are prime numbers).

3. LCM of fractions:

   • LCM of 2/3 and 6/7 = 6/1 = 6

Therefore, the LCM of 2/3 and 6/7 is 6.