Least Common Multiple of 6822/645, 5585/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6822/645, 5585/561 quickly i.e. 12700290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6822/645, 5585/561 is 12700290.

LCM(6822/645, 5585/561) = 12700290

LCM of 6822/645, 5585/561

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 6822/645,5585/561

Given numbers are 6822/645,5585/561

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 6822,5585

Least Common Multiple of Numerators i.e. LCM of 6822,5585 is 38100870.

GCF of Denominators means GCF of 645,561 as per the given fractions.

GCF of 645,561 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6822,5585

LCM of Fractions 6822/645,5585/561 is 12700290

Given numbers has no common factors except 1. So, there LCM is their product i.e 38100870

Least Common Multiple of 6822,5585 with GCF Formula

Least Common Multiple of 6822,5585 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 6822,5585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6822,5585) = 1

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

GCF(6822,5585) x common factors =1 x 1 = 1

LCM(6822,5585) = ( 6822 × 5585 ) / 1

LCM(6822,5585) = 38100870 / 1

LCM(6822,5585) = 38100870


Lets's calculate GCF of 645,561

3 645, 561
215, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38100870/3

Therefore the LCM of Fractions 6822/645,5585/561 is 12700290

Greatest Common Factor of 645,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,561 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

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 645,561 . The biggest common factor number is the GCF number.
So the greatest common factor 645,561 is 3.


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 6822/645, 5585/561

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 6822/645, 5585/561?

Answer: LCM of Numerators as per given numbers 6822/645, 5585/561 is

LCM of Numerators i.e. for 6822,5585 is 38100870

GCF of denominators i.e. for 645,561 is 3.

Thus, LCM of Fractions is 12700290.Finally, LCM of Fractions for 6822/645, 5585/561 is 12700290.