Least Common Multiple of 6546/34, 7209/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6546/34, 7209/289 quickly i.e. 15730038/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6546/34, 7209/289 is 15730038/17.

LCM(6546/34, 7209/289) = 15730038/17

LCM of 6546/34, 7209/289

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 6546/34,7209/289

Given numbers are 6546/34,7209/289

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 6546,7209

Least Common Multiple of Numerators i.e. LCM of 6546,7209 is 15730038.

GCF of Denominators means GCF of 34,289 as per the given fractions.

GCF of 34,289 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6546,7209

LCM of Fractions 6546/34,7209/289 is 15730038/17

3 6546, 7209
2182, 2403

∴ So the LCM of the given numbers is 3 x 2182 x 2403 = 15730038

Least Common Multiple of 6546,7209 with GCF Formula

Least Common Multiple of 6546,7209 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 6546,7209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6546,7209) = 3

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

GCF(6546,7209) x common factors =3 x 1 = 3

LCM(6546,7209) = ( 6546 × 7209 ) / 3

LCM(6546,7209) = 47190114 / 3

LCM(6546,7209) = 15730038


Lets's calculate GCF of 34,289

17 34, 289
2, 17

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15730038/17

Therefore the LCM of Fractions 6546/34,7209/289 is 15730038/17

Greatest Common Factor of 34,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,289 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 34,289 . The biggest common factor number is the GCF number.
So the greatest common factor 34,289 is 17.


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 6546/34, 7209/289

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 6546/34, 7209/289?

Answer: LCM of Numerators as per given numbers 6546/34, 7209/289 is

LCM of Numerators i.e. for 6546,7209 is 15730038

GCF of denominators i.e. for 34,289 is 17.

Thus, LCM of Fractions is 15730038/17.Finally, LCM of Fractions for 6546/34, 7209/289 is 15730038/17.