Know Least Common Multiple of fractions 468/94, 520/2428 quickly i.e. 2340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/94, 520/2428 is **2340**.

LCM(468/94, 520/2428) = 2340

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

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

Given numbers are 468/94,520/2428

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 468,520

Least Common Multiple of Numerators i.e. LCM of 468,520 is 4680.

GCF of Denominators means GCF of 94,2428 as per the given fractions.

GCF of 94,2428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,520

2 | 468, 520 |

2 | 234, 260 |

13 | 117, 130 |

9, 10 |

∴ So the LCM of the given numbers is 2 x 2 x 13 x 9 x 10 = 4680

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 468,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,520) = 52

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

GCF(468,520) x common factors =52 x 1 = 52

LCM(468,520) = ( 468 × 520 ) / 52

LCM(468,520) = 243360 / 52

LCM(468,520) = 4680

Lets's calculate GCF of 94,2428

2 | 94, 2428 |

47, 1214 |

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4680/2

Therefore the LCM of Fractions 468/94,520/2428 is 2340

**Factors of 94**

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

**Factors of 2428**

List of positive integer factors of 2428 that divides 2428 without a remainder.

1,2,4,607,1214,2428

**Greatest Common Factor**

We found the factors 94,2428 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 94,2428 ** is **2**.

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 468/94, 520/2428?

Answer: LCM of Numerators as per given numbers 468/94, 520/2428 is

LCM of Numerators i.e. for 468,520 is 4680

GCF of denominators i.e. for 94,2428 is 2.

Thus, LCM of Fractions is 2340.Finally, LCM of Fractions for 468/94, 520/2428 is 2340.