Least Common Multiple of 6829/820, 6578/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6829/820, 6578/655 quickly i.e. 44921162/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6829/820, 6578/655 is 44921162/5.

LCM(6829/820, 6578/655) = 44921162/5

LCM of 6829/820, 6578/655

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 6829/820,6578/655

Given numbers are 6829/820,6578/655

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 6829,6578

Least Common Multiple of Numerators i.e. LCM of 6829,6578 is 44921162.

GCF of Denominators means GCF of 820,655 as per the given fractions.

GCF of 820,655 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6829,6578

LCM of Fractions 6829/820,6578/655 is 44921162/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 44921162

Least Common Multiple of 6829,6578 with GCF Formula

Least Common Multiple of 6829,6578 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 6829,6578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6829,6578) = 1

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

GCF(6829,6578) x common factors =1 x 1 = 1

LCM(6829,6578) = ( 6829 × 6578 ) / 1

LCM(6829,6578) = 44921162 / 1

LCM(6829,6578) = 44921162


Lets's calculate GCF of 820,655

5 820, 655
164, 131

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44921162/5

Therefore the LCM of Fractions 6829/820,6578/655 is 44921162/5

Greatest Common Factor of 820,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,655 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 820,655 . The biggest common factor number is the GCF number.
So the greatest common factor 820,655 is 5.


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 6829/820, 6578/655

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 6829/820, 6578/655?

Answer: LCM of Numerators as per given numbers 6829/820, 6578/655 is

LCM of Numerators i.e. for 6829,6578 is 44921162

GCF of denominators i.e. for 820,655 is 5.

Thus, LCM of Fractions is 44921162/5.Finally, LCM of Fractions for 6829/820, 6578/655 is 44921162/5.