Know Least Common Multiple of fractions 165/245, 180/392, 210/486 quickly i.e. 13860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/245, 180/392, 210/486 is **13860**.

LCM(165/245, 180/392, 210/486) = 13860

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

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

Given numbers are 165/245,180/392,210/486

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 165,180,210

Least Common Multiple of Numerators i.e. LCM of 165,180,210 is 13860.

GCF of Denominators means GCF of 245,392,486 as per the given fractions.

GCF of 245,392,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,180,210

2 | 165, 180, 210 |

3 | 165, 90, 105 |

5 | 55, 30, 35 |

11, 6, 7 |

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 6 x 7 = 13860

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 165,180,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,180,210) = 15

common factors(in case of two or more numbers have common factors) = 30

GCF(165,180,210) x common factors =15 x 30 = 450

LCM(165,180,210) = ( 165 × 180 × 210 ) / 450

LCM(165,180,210) = 6237000 / 450

LCM(165,180,210) = 13860

Lets's calculate GCF of 245,392,486

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13860/1

Therefore the LCM of Fractions 165/245,180/392,210/486 is 13860

**Factors of 245**

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

**Factors of 392**

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

**Factors of 486**

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

**Greatest Common Factor**

We found the factors 245,392,486 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 245,392,486 ** is **1**.

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 165/245, 180/392, 210/486?

Answer: LCM of Numerators as per given numbers 165/245, 180/392, 210/486 is

LCM of Numerators i.e. for 165,180,210 is 13860

GCF of denominators i.e. for 245,392,486 is 1.

Thus, LCM of Fractions is 13860.Finally, LCM of Fractions for 165/245, 180/392, 210/486 is 13860.