Know Least Common Multiple of fractions 460/18, 339/24, 807/33 quickly i.e. 13982620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/18, 339/24, 807/33 is **13982620**.

LCM(460/18, 339/24, 807/33) = 13982620

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

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

Given numbers are 460/18,339/24,807/33

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 460,339,807

Least Common Multiple of Numerators i.e. LCM of 460,339,807 is 41947860.

GCF of Denominators means GCF of 18,24,33 as per the given fractions.

GCF of 18,24,33 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,339,807

3 | 460, 339, 807 |

460, 113, 269 |

∴ So the LCM of the given numbers is 3 x 460 x 113 x 269 = 41947860

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 460,339,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,339,807) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(460,339,807) x common factors =1 x 3 = 3

LCM(460,339,807) = ( 460 × 339 × 807 ) / 3

LCM(460,339,807) = 125843580 / 3

LCM(460,339,807) = 41947860

Lets's calculate GCF of 18,24,33

3 | 18, 24, 33 |

6, 8, 11 |

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41947860/3

Therefore the LCM of Fractions 460/18,339/24,807/33 is 13982620

**Factors of 18**

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

**Factors of 24**

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

**Factors of 33**

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

**Greatest Common Factor**

We found the factors 18,24,33 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 18,24,33 ** is **3**.

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 460/18, 339/24, 807/33?

Answer: LCM of Numerators as per given numbers 460/18, 339/24, 807/33 is

LCM of Numerators i.e. for 460,339,807 is 41947860

GCF of denominators i.e. for 18,24,33 is 3.

Thus, LCM of Fractions is 13982620.Finally, LCM of Fractions for 460/18, 339/24, 807/33 is 13982620.