Know Least Common Multiple of fractions 297/625, 1089/676 quickly i.e. 3267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/625, 1089/676 is **3267**.

LCM(297/625, 1089/676) = 3267

Enter two or more fractions separated by **"commas"**

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

Given numbers are 297/625,1089/676

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 297,1089

Least Common Multiple of Numerators i.e. LCM of 297,1089 is 3267.

GCF of Denominators means GCF of 625,676 as per the given fractions.

GCF of 625,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,1089

3 | 297, 1089 |

3 | 99, 363 |

11 | 33, 121 |

3, 11 |

∴ So the LCM of the given numbers is 3 x 3 x 11 x 3 x 11 = 3267

The formula of **LCM** is LCM(a_{1},a_{2},a_{3}....,a_{n}) = ( a_{1} × a_{2} × a_{3} × .... × a_{n}) / GCF(a_{1},a_{2},a_{3}....,a_{n}) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 297,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,1089) = 99

common factors(in case of two or more numbers have common factors) = 1

GCF(297,1089) x common factors =99 x 1 = 99

LCM(297,1089) = ( 297 × 1089 ) / 99

LCM(297,1089) = 323433 / 99

LCM(297,1089) = 3267

Lets's calculate GCF of 625,676

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3267/1

Therefore the LCM of Fractions 297/625,1089/676 is 3267

**Factors of 625**

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

**Factors of 676**

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

**Greatest Common Factor**

We found the factors 625,676 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 625,676 ** is **1**.

Here are some samples of LCM of Fractions calculations.

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 297/625, 1089/676?

Answer: LCM of Numerators as per given numbers 297/625, 1089/676 is

LCM of Numerators i.e. for 297,1089 is 3267

GCF of denominators i.e. for 625,676 is 1.

Thus, LCM of Fractions is 3267.Finally, LCM of Fractions for 297/625, 1089/676 is 3267.