Least Common Multiple of 26/822, 675/131, 728/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/822, 675/131, 728/939 quickly i.e. 491400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/822, 675/131, 728/939 is 491400.

LCM(26/822, 675/131, 728/939) = 491400

LCM of 26/822, 675/131, 728/939

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 26/822,675/131,728/939

Given numbers are 26/822,675/131,728/939

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 26,675,728

Least Common Multiple of Numerators i.e. LCM of 26,675,728 is 491400.

GCF of Denominators means GCF of 822,131,939 as per the given fractions.

GCF of 822,131,939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,675,728

LCM of Fractions 26/822,675/131,728/939 is 491400

2 26, 675, 728
13 13, 675, 364
1, 675, 28

∴ So the LCM of the given numbers is 2 x 13 x 1 x 675 x 28 = 491400

Least Common Multiple of 26,675,728 with GCF Formula

Least Common Multiple of 26,675,728 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 26,675,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,675,728) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(26,675,728) x common factors =1 x 26 = 26

LCM(26,675,728) = ( 26 × 675 × 728 ) / 26

LCM(26,675,728) = 12776400 / 26

LCM(26,675,728) = 491400


Lets's calculate GCF of 822,131,939

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491400/1

Therefore the LCM of Fractions 26/822,675/131,728/939 is 491400

Greatest Common Factor of 822,131,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,131,939 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 822,131,939 . The biggest common factor number is the GCF number.
So the greatest common factor 822,131,939 is 1.


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 26/822, 675/131, 728/939

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 26/822, 675/131, 728/939?

Answer: LCM of Numerators as per given numbers 26/822, 675/131, 728/939 is

LCM of Numerators i.e. for 26,675,728 is 491400

GCF of denominators i.e. for 822,131,939 is 1.

Thus, LCM of Fractions is 491400.Finally, LCM of Fractions for 26/822, 675/131, 728/939 is 491400.