Least Common Multiple of 26/686, 82/410, 982/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/686, 82/410, 982/778 quickly i.e. 261703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/686, 82/410, 982/778 is 261703.

LCM(26/686, 82/410, 982/778) = 261703

LCM of 26/686, 82/410, 982/778

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 26/686,82/410,982/778

Given numbers are 26/686,82/410,982/778

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 26,82,982

Least Common Multiple of Numerators i.e. LCM of 26,82,982 is 523406.

GCF of Denominators means GCF of 686,410,778 as per the given fractions.

GCF of 686,410,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,82,982

LCM of Fractions 26/686,82/410,982/778 is 261703

2 26, 82, 982
13, 41, 491

∴ So the LCM of the given numbers is 2 x 13 x 41 x 491 = 523406

Least Common Multiple of 26,82,982 with GCF Formula

Least Common Multiple of 26,82,982 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 26,82,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,82,982) = 2

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

GCF(26,82,982) x common factors =2 x 2 = 4

LCM(26,82,982) = ( 26 × 82 × 982 ) / 4

LCM(26,82,982) = 2093624 / 4

LCM(26,82,982) = 523406


Lets's calculate GCF of 686,410,778

2 686, 410, 778
343, 205, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523406/2

Therefore the LCM of Fractions 26/686,82/410,982/778 is 261703

Greatest Common Factor of 686,410,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,410,778 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 686,410,778 . The biggest common factor number is the GCF number.
So the greatest common factor 686,410,778 is 2.


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 26/686, 82/410, 982/778

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 26/686, 82/410, 982/778?

Answer: LCM of Numerators as per given numbers 26/686, 82/410, 982/778 is

LCM of Numerators i.e. for 26,82,982 is 523406

GCF of denominators i.e. for 686,410,778 is 2.

Thus, LCM of Fractions is 261703.Finally, LCM of Fractions for 26/686, 82/410, 982/778 is 261703.