Least Common Multiple of 6822/344, 2801/3567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6822/344, 2801/3567 quickly i.e. 19108422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6822/344, 2801/3567 is 19108422.

LCM(6822/344, 2801/3567) = 19108422

LCM of 6822/344, 2801/3567

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 6822/344,2801/3567

Given numbers are 6822/344,2801/3567

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 6822,2801

Least Common Multiple of Numerators i.e. LCM of 6822,2801 is 19108422.

GCF of Denominators means GCF of 344,3567 as per the given fractions.

GCF of 344,3567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6822,2801

LCM of Fractions 6822/344,2801/3567 is 19108422

Given numbers has no common factors except 1. So, there LCM is their product i.e 19108422

Least Common Multiple of 6822,2801 with GCF Formula

Least Common Multiple of 6822,2801 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 6822,2801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6822,2801) = 1

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

GCF(6822,2801) x common factors =1 x 1 = 1

LCM(6822,2801) = ( 6822 × 2801 ) / 1

LCM(6822,2801) = 19108422 / 1

LCM(6822,2801) = 19108422


Lets's calculate GCF of 344,3567

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19108422/1

Therefore the LCM of Fractions 6822/344,2801/3567 is 19108422

Greatest Common Factor of 344,3567 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,3567 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 3567

List of positive integer factors of 3567 that divides 3567 without a remainder.

1,3,29,41,87,123,1189,3567

Greatest Common Factor

We found the factors 344,3567 . The biggest common factor number is the GCF number.
So the greatest common factor 344,3567 is 1.


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 6822/344, 2801/3567

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 6822/344, 2801/3567?

Answer: LCM of Numerators as per given numbers 6822/344, 2801/3567 is

LCM of Numerators i.e. for 6822,2801 is 19108422

GCF of denominators i.e. for 344,3567 is 1.

Thus, LCM of Fractions is 19108422.Finally, LCM of Fractions for 6822/344, 2801/3567 is 19108422.