Least Common Multiple of 4556/18, 6809/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4556/18, 6809/864 quickly i.e. 31021804/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4556/18, 6809/864 is 31021804/18.

LCM(4556/18, 6809/864) = 31021804/18

LCM of 4556/18, 6809/864

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 4556/18,6809/864

Given numbers are 4556/18,6809/864

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 4556,6809

Least Common Multiple of Numerators i.e. LCM of 4556,6809 is 31021804.

GCF of Denominators means GCF of 18,864 as per the given fractions.

GCF of 18,864 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4556,6809

LCM of Fractions 4556/18,6809/864 is 31021804/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 31021804

Least Common Multiple of 4556,6809 with GCF Formula

Least Common Multiple of 4556,6809 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 4556,6809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4556,6809) = 1

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

GCF(4556,6809) x common factors =1 x 1 = 1

LCM(4556,6809) = ( 4556 × 6809 ) / 1

LCM(4556,6809) = 31021804 / 1

LCM(4556,6809) = 31021804


Lets's calculate GCF of 18,864

2 18, 864
3 9, 432
3 3, 144
1, 48

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31021804/18

Therefore the LCM of Fractions 4556/18,6809/864 is 31021804/18

Greatest Common Factor of 18,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,864 By Matching Biggest Common Factor Method

Factors of 18

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

1,2,3,6,9,18

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 18,864 . The biggest common factor number is the GCF number.
So the greatest common factor 18,864 is 18.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 4556/18, 6809/864

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 4556/18, 6809/864?

Answer: LCM of Numerators as per given numbers 4556/18, 6809/864 is

LCM of Numerators i.e. for 4556,6809 is 31021804

GCF of denominators i.e. for 18,864 is 18.

Thus, LCM of Fractions is 31021804/18.Finally, LCM of Fractions for 4556/18, 6809/864 is 31021804/18.