Know Least Common Multiple of fractions 144/144, 180/180, 300/198 quickly i.e. 200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/144, 180/180, 300/198 is **200**.

LCM(144/144, 180/180, 300/198) = 200

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

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

Given numbers are 144/144,180/180,300/198

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 144,180,300

Least Common Multiple of Numerators i.e. LCM of 144,180,300 is 3600.

GCF of Denominators means GCF of 144,180,198 as per the given fractions.

GCF of 144,180,198 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,180,300

2 | 144, 180, 300 |

2 | 72, 90, 150 |

3 | 36, 45, 75 |

3 | 12, 15, 25 |

5 | 4, 5, 25 |

4, 1, 5 |

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 4 x 1 x 5 = 3600

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 144,180,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,180,300) = 12

common factors(in case of two or more numbers have common factors) = 180

GCF(144,180,300) x common factors =12 x 180 = 2160

LCM(144,180,300) = ( 144 × 180 × 300 ) / 2160

LCM(144,180,300) = 7776000 / 2160

LCM(144,180,300) = 3600

Lets's calculate GCF of 144,180,198

2 | 144, 180, 198 |

3 | 72, 90, 99 |

3 | 24, 30, 33 |

8, 10, 11 |

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3600/18

Therefore the LCM of Fractions 144/144,180/180,300/198 is 200

**Factors of 144**

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

**Factors of 180**

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

**Factors of 198**

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

**Greatest Common Factor**

We found the factors 144,180,198 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 144,180,198 ** is **18**.

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 144/144, 180/180, 300/198?

Answer: LCM of Numerators as per given numbers 144/144, 180/180, 300/198 is

LCM of Numerators i.e. for 144,180,300 is 3600

GCF of denominators i.e. for 144,180,198 is 18.

Thus, LCM of Fractions is 200.Finally, LCM of Fractions for 144/144, 180/180, 300/198 is 200.