Least Common Multiple of 6228/142, 7359/7129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6228/142, 7359/7129 quickly i.e. 15277284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6228/142, 7359/7129 is 15277284.

LCM(6228/142, 7359/7129) = 15277284

LCM of 6228/142, 7359/7129

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 6228/142,7359/7129

Given numbers are 6228/142,7359/7129

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 6228,7359

Least Common Multiple of Numerators i.e. LCM of 6228,7359 is 15277284.

GCF of Denominators means GCF of 142,7129 as per the given fractions.

GCF of 142,7129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6228,7359

LCM of Fractions 6228/142,7359/7129 is 15277284

3 6228, 7359
2076, 2453

∴ So the LCM of the given numbers is 3 x 2076 x 2453 = 15277284

Least Common Multiple of 6228,7359 with GCF Formula

Least Common Multiple of 6228,7359 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 6228,7359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6228,7359) = 3

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

GCF(6228,7359) x common factors =3 x 1 = 3

LCM(6228,7359) = ( 6228 × 7359 ) / 3

LCM(6228,7359) = 45831852 / 3

LCM(6228,7359) = 15277284


Lets's calculate GCF of 142,7129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15277284/1

Therefore the LCM of Fractions 6228/142,7359/7129 is 15277284

Greatest Common Factor of 142,7129 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,7129 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 7129

List of positive integer factors of 7129 that divides 7129 without a remainder.

1,7129

Greatest Common Factor

We found the factors 142,7129 . The biggest common factor number is the GCF number.
So the greatest common factor 142,7129 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 6228/142, 7359/7129

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 6228/142, 7359/7129?

Answer: LCM of Numerators as per given numbers 6228/142, 7359/7129 is

LCM of Numerators i.e. for 6228,7359 is 15277284

GCF of denominators i.e. for 142,7129 is 1.

Thus, LCM of Fractions is 15277284.Finally, LCM of Fractions for 6228/142, 7359/7129 is 15277284.