Know Least Common Multiple of fractions 63/72, 90/90, 150/126 quickly i.e. 175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/72, 90/90, 150/126 is **175**.

LCM(63/72, 90/90, 150/126) = 175

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

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

Given numbers are 63/72,90/90,150/126

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 63,90,150

Least Common Multiple of Numerators i.e. LCM of 63,90,150 is 3150.

GCF of Denominators means GCF of 72,90,126 as per the given fractions.

GCF of 72,90,126 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,90,150

2 | 63, 90, 150 |

3 | 63, 45, 75 |

3 | 21, 15, 25 |

5 | 7, 5, 25 |

7, 1, 5 |

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 5 = 3150

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 63,90,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,90,150) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(63,90,150) x common factors =3 x 90 = 270

LCM(63,90,150) = ( 63 × 90 × 150 ) / 270

LCM(63,90,150) = 850500 / 270

LCM(63,90,150) = 3150

Lets's calculate GCF of 72,90,126

2 | 72, 90, 126 |

3 | 36, 45, 63 |

3 | 12, 15, 21 |

4, 5, 7 |

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3150/18

Therefore the LCM of Fractions 63/72,90/90,150/126 is 175

**Factors of 72**

List of positive integer factors of 72 that divides 72 without a remainder.

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

**Factors of 90**

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

**Factors of 126**

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

**Greatest Common Factor**

We found the factors 72,90,126 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 72,90,126 ** 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 63/72, 90/90, 150/126?

Answer: LCM of Numerators as per given numbers 63/72, 90/90, 150/126 is

LCM of Numerators i.e. for 63,90,150 is 3150

GCF of denominators i.e. for 72,90,126 is 18.

Thus, LCM of Fractions is 175.Finally, LCM of Fractions for 63/72, 90/90, 150/126 is 175.