Know Least Common Multiple of fractions 275/294, 625/784 quickly i.e. 6875/98 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/294, 625/784 is **6875/98**.

LCM(275/294, 625/784) = 6875/98

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

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

Given numbers are 275/294,625/784

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 275,625

Least Common Multiple of Numerators i.e. LCM of 275,625 is 6875.

GCF of Denominators means GCF of 294,784 as per the given fractions.

GCF of 294,784 is 98 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,625

5 | 275, 625 |

5 | 55, 125 |

11, 25 |

∴ So the LCM of the given numbers is 5 x 5 x 11 x 25 = 6875

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 275,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,625) = 25

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

GCF(275,625) x common factors =25 x 1 = 25

LCM(275,625) = ( 275 × 625 ) / 25

LCM(275,625) = 171875 / 25

LCM(275,625) = 6875

Lets's calculate GCF of 294,784

2 | 294, 784 |

7 | 147, 392 |

7 | 21, 56 |

3, 8 |

∴ So the GCF of the given numbers is 2 x 7 x 7 = 98

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6875/98

Therefore the LCM of Fractions 275/294,625/784 is 6875/98

**Factors of 294**

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

**Factors of 784**

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

**Greatest Common Factor**

We found the factors 294,784 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 294,784 ** is **98**.

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 275/294, 625/784?

Answer: LCM of Numerators as per given numbers 275/294, 625/784 is

LCM of Numerators i.e. for 275,625 is 6875

GCF of denominators i.e. for 294,784 is 98.

Thus, LCM of Fractions is 6875/98.Finally, LCM of Fractions for 275/294, 625/784 is 6875/98.