Know Least Common Multiple of fractions 216/85, 4096/561 quickly i.e. 110592/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/85, 4096/561 is **110592/17**.

LCM(216/85, 4096/561) = 110592/17

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

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

Given numbers are 216/85,4096/561

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 216,4096

Least Common Multiple of Numerators i.e. LCM of 216,4096 is 110592.

GCF of Denominators means GCF of 85,561 as per the given fractions.

GCF of 85,561 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,4096

2 | 216, 4096 |

2 | 108, 2048 |

2 | 54, 1024 |

27, 512 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 27 x 512 = 110592

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 216,4096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,4096) = 8

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

GCF(216,4096) x common factors =8 x 1 = 8

LCM(216,4096) = ( 216 × 4096 ) / 8

LCM(216,4096) = 884736 / 8

LCM(216,4096) = 110592

Lets's calculate GCF of 85,561

17 | 85, 561 |

5, 33 |

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110592/17

Therefore the LCM of Fractions 216/85,4096/561 is 110592/17

**Factors of 85**

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

**Factors of 561**

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

**Greatest Common Factor**

We found the factors 85,561 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 85,561 ** is **17**.

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 216/85, 4096/561?

Answer: LCM of Numerators as per given numbers 216/85, 4096/561 is

LCM of Numerators i.e. for 216,4096 is 110592

GCF of denominators i.e. for 85,561 is 17.

Thus, LCM of Fractions is 110592/17.Finally, LCM of Fractions for 216/85, 4096/561 is 110592/17.