Least Common Multiple of 26/826, 547/82, 716/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/826, 547/82, 716/140 quickly i.e. 2545738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/826, 547/82, 716/140 is 2545738.

LCM(26/826, 547/82, 716/140) = 2545738

LCM of 26/826, 547/82, 716/140

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 26/826,547/82,716/140

Given numbers are 26/826,547/82,716/140

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 26,547,716

Least Common Multiple of Numerators i.e. LCM of 26,547,716 is 5091476.

GCF of Denominators means GCF of 826,82,140 as per the given fractions.

GCF of 826,82,140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,547,716

LCM of Fractions 26/826,547/82,716/140 is 2545738

2 26, 547, 716
13, 547, 358

∴ So the LCM of the given numbers is 2 x 13 x 547 x 358 = 5091476

Least Common Multiple of 26,547,716 with GCF Formula

Least Common Multiple of 26,547,716 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 26,547,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,547,716) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,547,716) x common factors =1 x 2 = 2

LCM(26,547,716) = ( 26 × 547 × 716 ) / 2

LCM(26,547,716) = 10182952 / 2

LCM(26,547,716) = 5091476


Lets's calculate GCF of 826,82,140

2 826, 82, 140
413, 41, 70

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5091476/2

Therefore the LCM of Fractions 26/826,547/82,716/140 is 2545738

Greatest Common Factor of 826,82,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,82,140 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 826,82,140 . The biggest common factor number is the GCF number.
So the greatest common factor 826,82,140 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/826, 547/82, 716/140

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 26/826, 547/82, 716/140?

Answer: LCM of Numerators as per given numbers 26/826, 547/82, 716/140 is

LCM of Numerators i.e. for 26,547,716 is 5091476

GCF of denominators i.e. for 826,82,140 is 2.

Thus, LCM of Fractions is 2545738.Finally, LCM of Fractions for 26/826, 547/82, 716/140 is 2545738.