Answer:

We can start by expressing each fraction with a common denominator.

2/7 = (4/4) × (2/7) = 8/28

3/14 = (2/2) × (3/14) = 6/28

5/3 = (28/28) × (5/3) = 140/84

Now, we need to find the least common multiple of 28 and 84.

Prime factorizing 28 and 84, we get:

28 = 2^2 × 7^1

84 = 2^2 × 3^1 × 7^1

The LCM of 28 and 84 is:

LCM = 2^2 × 3^1 × 7^1 = 84

Multiplying each fraction by the appropriate factor to get a denominator of 84, we get:

8/28 = (3/3) × (8/28) = 24/84

6/28 = (3/3) × (6/28) = 18/84

140/84 = 140/84

Therefore, the LCM of 2/7, 3/14 and 5/3 is 84.

Answer:

Thus , L.C.M. of 2/7 , 3/14 , 5/3 = 1260/42 = 30. , Answer.