Know Least Common Multiple of fractions 90/45, 150/75, 225/225 quickly i.e. 30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/45, 150/75, 225/225 is **30**.

LCM(90/45, 150/75, 225/225) = 30

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

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

Given numbers are 90/45,150/75,225/225

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 90,150,225

Least Common Multiple of Numerators i.e. LCM of 90,150,225 is 450.

GCF of Denominators means GCF of 45,75,225 as per the given fractions.

GCF of 45,75,225 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,150,225

2 | 90, 150, 225 |

3 | 45, 75, 225 |

3 | 15, 25, 75 |

5 | 5, 25, 25 |

5 | 1, 5, 5 |

1, 1, 1 |

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 5 x 1 x 1 x 1 = 450

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 90,150,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,150,225) = 15

common factors(in case of two or more numbers have common factors) = 450

GCF(90,150,225) x common factors =15 x 450 = 6750

LCM(90,150,225) = ( 90 × 150 × 225 ) / 6750

LCM(90,150,225) = 3037500 / 6750

LCM(90,150,225) = 450

Lets's calculate GCF of 45,75,225

3 | 45, 75, 225 |

5 | 15, 25, 75 |

3, 5, 15 |

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450/15

Therefore the LCM of Fractions 90/45,150/75,225/225 is 30

**Factors of 45**

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

**Factors of 75**

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

**Factors of 225**

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

**Greatest Common Factor**

We found the factors 45,75,225 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 45,75,225 ** is **15**.

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 90/45, 150/75, 225/225?

Answer: LCM of Numerators as per given numbers 90/45, 150/75, 225/225 is

LCM of Numerators i.e. for 90,150,225 is 450

GCF of denominators i.e. for 45,75,225 is 15.

Thus, LCM of Fractions is 30.Finally, LCM of Fractions for 90/45, 150/75, 225/225 is 30.