Know Least Common Multiple of fractions 1500/55, 1800/605 quickly i.e. 9000/55 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1500/55, 1800/605 is **9000/55**.

LCM(1500/55, 1800/605) = 9000/55

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

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

Given numbers are 1500/55,1800/605

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 1500,1800

Least Common Multiple of Numerators i.e. LCM of 1500,1800 is 9000.

GCF of Denominators means GCF of 55,605 as per the given fractions.

GCF of 55,605 is 55 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1500,1800

2 | 1500, 1800 |

2 | 750, 900 |

3 | 375, 450 |

5 | 125, 150 |

5 | 25, 30 |

5, 6 |

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 5 x 6 = 9000

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 1500,1800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1500,1800) = 300

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

GCF(1500,1800) x common factors =300 x 1 = 300

LCM(1500,1800) = ( 1500 × 1800 ) / 300

LCM(1500,1800) = 2700000 / 300

LCM(1500,1800) = 9000

Lets's calculate GCF of 55,605

5 | 55, 605 |

11 | 11, 121 |

1, 11 |

∴ So the GCF of the given numbers is 5 x 11 = 55

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9000/55

Therefore the LCM of Fractions 1500/55,1800/605 is 9000/55

**Factors of 55**

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

**Factors of 605**

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

**Greatest Common Factor**

We found the factors 55,605 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 55,605 ** is **55**.

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 1500/55, 1800/605?

Answer: LCM of Numerators as per given numbers 1500/55, 1800/605 is

LCM of Numerators i.e. for 1500,1800 is 9000

GCF of denominators i.e. for 55,605 is 55.

Thus, LCM of Fractions is 9000/55.Finally, LCM of Fractions for 1500/55, 1800/605 is 9000/55.