Least Common Multiple of 6855/674, 3082/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6855/674, 3082/554 quickly i.e. 10563555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6855/674, 3082/554 is 10563555.

LCM(6855/674, 3082/554) = 10563555

LCM of 6855/674, 3082/554

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 6855/674,3082/554

Given numbers are 6855/674,3082/554

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 6855,3082

Least Common Multiple of Numerators i.e. LCM of 6855,3082 is 21127110.

GCF of Denominators means GCF of 674,554 as per the given fractions.

GCF of 674,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6855,3082

LCM of Fractions 6855/674,3082/554 is 10563555

Given numbers has no common factors except 1. So, there LCM is their product i.e 21127110

Least Common Multiple of 6855,3082 with GCF Formula

Least Common Multiple of 6855,3082 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 6855,3082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6855,3082) = 1

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

GCF(6855,3082) x common factors =1 x 1 = 1

LCM(6855,3082) = ( 6855 × 3082 ) / 1

LCM(6855,3082) = 21127110 / 1

LCM(6855,3082) = 21127110


Lets's calculate GCF of 674,554

2 674, 554
337, 277

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21127110/2

Therefore the LCM of Fractions 6855/674,3082/554 is 10563555

Greatest Common Factor of 674,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,554 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 674,554 . The biggest common factor number is the GCF number.
So the greatest common factor 674,554 is 2.


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 6855/674, 3082/554

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 6855/674, 3082/554?

Answer: LCM of Numerators as per given numbers 6855/674, 3082/554 is

LCM of Numerators i.e. for 6855,3082 is 21127110

GCF of denominators i.e. for 674,554 is 2.

Thus, LCM of Fractions is 10563555.Finally, LCM of Fractions for 6855/674, 3082/554 is 10563555.