Least Common Multiple of 8198/276, 2968/4122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8198/276, 2968/4122 quickly i.e. 12165832/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8198/276, 2968/4122 is 12165832/6.

LCM(8198/276, 2968/4122) = 12165832/6

LCM of 8198/276, 2968/4122

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 8198/276,2968/4122

Given numbers are 8198/276,2968/4122

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 8198,2968

Least Common Multiple of Numerators i.e. LCM of 8198,2968 is 12165832.

GCF of Denominators means GCF of 276,4122 as per the given fractions.

GCF of 276,4122 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8198,2968

LCM of Fractions 8198/276,2968/4122 is 12165832/6

2 8198, 2968
4099, 1484

∴ So the LCM of the given numbers is 2 x 4099 x 1484 = 12165832

Least Common Multiple of 8198,2968 with GCF Formula

Least Common Multiple of 8198,2968 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 8198,2968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8198,2968) = 2

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

GCF(8198,2968) x common factors =2 x 1 = 2

LCM(8198,2968) = ( 8198 × 2968 ) / 2

LCM(8198,2968) = 24331664 / 2

LCM(8198,2968) = 12165832


Lets's calculate GCF of 276,4122

2 276, 4122
3 138, 2061
46, 687

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12165832/6

Therefore the LCM of Fractions 8198/276,2968/4122 is 12165832/6

Greatest Common Factor of 276,4122 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,4122 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1,2,3,6,9,18,229,458,687,1374,2061,4122

Greatest Common Factor

We found the factors 276,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 276,4122 is 6.


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 8198/276, 2968/4122

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 8198/276, 2968/4122?

Answer: LCM of Numerators as per given numbers 8198/276, 2968/4122 is

LCM of Numerators i.e. for 8198,2968 is 12165832

GCF of denominators i.e. for 276,4122 is 6.

Thus, LCM of Fractions is 12165832/6.Finally, LCM of Fractions for 8198/276, 2968/4122 is 12165832/6.