Know Least Common Multiple of fractions 25/42, 144/63, 400/147 quickly i.e. 3600/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/42, 144/63, 400/147 is **3600/21**.

LCM(25/42, 144/63, 400/147) = 3600/21

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

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

Given numbers are 25/42,144/63,400/147

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 25,144,400

Least Common Multiple of Numerators i.e. LCM of 25,144,400 is 3600.

GCF of Denominators means GCF of 42,63,147 as per the given fractions.

GCF of 42,63,147 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,144,400

2 | 25, 144, 400 |

2 | 25, 72, 200 |

2 | 25, 36, 100 |

2 | 25, 18, 50 |

5 | 25, 9, 25 |

5 | 5, 9, 5 |

1, 9, 1 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 1 x 9 x 1 = 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 25,144,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,144,400) = 1

common factors(in case of two or more numbers have common factors) = 400

GCF(25,144,400) x common factors =1 x 400 = 400

LCM(25,144,400) = ( 25 × 144 × 400 ) / 400

LCM(25,144,400) = 1440000 / 400

LCM(25,144,400) = 3600

Lets's calculate GCF of 42,63,147

3 | 42, 63, 147 |

7 | 14, 21, 49 |

2, 3, 7 |

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3600/21

Therefore the LCM of Fractions 25/42,144/63,400/147 is 3600/21

**Factors of 42**

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

**Factors of 63**

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

**Factors of 147**

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

**Greatest Common Factor**

We found the factors 42,63,147 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 42,63,147 ** is **21**.

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 25/42, 144/63, 400/147?

Answer: LCM of Numerators as per given numbers 25/42, 144/63, 400/147 is

LCM of Numerators i.e. for 25,144,400 is 3600

GCF of denominators i.e. for 42,63,147 is 21.

Thus, LCM of Fractions is 3600/21.Finally, LCM of Fractions for 25/42, 144/63, 400/147 is 3600/21.