# Least Common Multiple of 216/85, 4096/561

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

## LCM of 216/85, 4096/561

Enter two or more fractions separated by "commas"

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

LCM of:

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

### Least Common Multiple (LCM) of 216,4096 By Common Division

 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

Least Common Multiple of 216,4096 with GCF Formula

### Least Common Multiple of 216,4096 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) 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

### Greatest Common Factor (GCF) of 85,561 By Common Division

 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

Greatest Common Factor of 85,561 By Matching Biggest Common Factor Method

### Greatest Common Factor of 85,561 By Matching Biggest Common Factor Method

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.

### LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

### Frequently Asked Questions on Fractional LCM of 216/85, 4096/561

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.