Least Common Multiple of 726/687, 2259/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/687, 2259/945 quickly i.e. 182226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/687, 2259/945 is 182226.

LCM(726/687, 2259/945) = 182226

LCM of 726/687, 2259/945

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 726/687,2259/945

Given numbers are 726/687,2259/945

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 726,2259

Least Common Multiple of Numerators i.e. LCM of 726,2259 is 546678.

GCF of Denominators means GCF of 687,945 as per the given fractions.

GCF of 687,945 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,2259

LCM of Fractions 726/687,2259/945 is 182226

3 726, 2259
242, 753

∴ So the LCM of the given numbers is 3 x 242 x 753 = 546678

Least Common Multiple of 726,2259 with GCF Formula

Least Common Multiple of 726,2259 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 726,2259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,2259) = 3

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

GCF(726,2259) x common factors =3 x 1 = 3

LCM(726,2259) = ( 726 × 2259 ) / 3

LCM(726,2259) = 1640034 / 3

LCM(726,2259) = 546678


Lets's calculate GCF of 687,945

3 687, 945
229, 315

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546678/3

Therefore the LCM of Fractions 726/687,2259/945 is 182226

Greatest Common Factor of 687,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,945 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 687,945 . The biggest common factor number is the GCF number.
So the greatest common factor 687,945 is 3.


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 726/687, 2259/945

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 726/687, 2259/945?

Answer: LCM of Numerators as per given numbers 726/687, 2259/945 is

LCM of Numerators i.e. for 726,2259 is 546678

GCF of denominators i.e. for 687,945 is 3.

Thus, LCM of Fractions is 182226.Finally, LCM of Fractions for 726/687, 2259/945 is 182226.