Least Common Multiple of 726/378, 8641/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/378, 8641/756 quickly i.e. 6273366/378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/378, 8641/756 is 6273366/378.

LCM(726/378, 8641/756) = 6273366/378

LCM of 726/378, 8641/756

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 726/378,8641/756

Given numbers are 726/378,8641/756

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 726,8641

Least Common Multiple of Numerators i.e. LCM of 726,8641 is 6273366.

GCF of Denominators means GCF of 378,756 as per the given fractions.

GCF of 378,756 is 378 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,8641

LCM of Fractions 726/378,8641/756 is 6273366/378

Given numbers has no common factors except 1. So, there LCM is their product i.e 6273366

Least Common Multiple of 726,8641 with GCF Formula

Least Common Multiple of 726,8641 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 726,8641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,8641) = 1

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

GCF(726,8641) x common factors =1 x 1 = 1

LCM(726,8641) = ( 726 × 8641 ) / 1

LCM(726,8641) = 6273366 / 1

LCM(726,8641) = 6273366


Lets's calculate GCF of 378,756

2 378, 756
3 189, 378
3 63, 126
3 21, 42
7 7, 14
1, 2

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 7 = 378

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6273366/378

Therefore the LCM of Fractions 726/378,8641/756 is 6273366/378

Greatest Common Factor of 378,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,756 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 378,756 . The biggest common factor number is the GCF number.
So the greatest common factor 378,756 is 378.


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 726/378, 8641/756

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 726/378, 8641/756?

Answer: LCM of Numerators as per given numbers 726/378, 8641/756 is

LCM of Numerators i.e. for 726,8641 is 6273366

GCF of denominators i.e. for 378,756 is 378.

Thus, LCM of Fractions is 6273366/378.Finally, LCM of Fractions for 726/378, 8641/756 is 6273366/378.