LCM of Fractions (original) (raw)
Last Updated : 24 Jan, 2026
LCM of fractions is the smallest value either integer or fraction that can be evenly divided by the given fractions.
**Note: The LCM of a fraction can either be an integer or a fraction.
**Step 1 : Calculate the LCM of the numerators of the given fraction.
**Step 2 : Calculate the HCF of the Denominators of the given fraction.
**Step 3 : Compute the LCM of the fractions by using the formula given below,
Formula for **LCM of Fractions
LCM of fractions = \frac{LCM of Numerators}{HCF of Denominators}
**Example: **Find the LCM of 2/3 and 4/9.
**Solution:
- **Numerators: 2, 4 → LCM(2, 4) = 4
- **Denominators: 3, 9 → HCF(3, 9) = 3
LCM of 2/3 and 4/9 =LCM( 2, 4)/HCF(3, 9) = 4/3
Solved Example on LCM of Fractions
**Example 1: Calculate the HCF of the fractions 3/8, 5/16, and 3/16.
**Solution:
**Given fractions: 3/8, 5/16, and 3/16
**Numerators: 3, 5, 3
**Denominators: 8, 16, 16LCM of Numerators (3, 5, 3) = 15
HCF of Denominators ( 8, 16, 16 ) = 8LCM of (3/8, 5/16, and 3/16 ) = LCM(3, 5, 3)/HCF(8, 16, 16) = 15/8
**Example 2: Calculate the LCM of the fractions 2/7 and 9/11.
**Solution:
**Given fractions: 2/7 and 9/11.
**Numerators: 2, 9
**Denominators: 7, 11LCM of Numerators (2, 9) = 18
GCD of denominators (7, 11) = 1(both primes)
LCM of ( **2/7 and 9/11 ) = LCM( 2, 9)/GCD(7, 11) = 18/1 = 18