Least Common Multiple of 76/26, 974/79, 591/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/26, 974/79, 591/311 quickly i.e. 21874092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/26, 974/79, 591/311 is 21874092.

LCM(76/26, 974/79, 591/311) = 21874092

LCM of 76/26, 974/79, 591/311

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 76/26,974/79,591/311

Given numbers are 76/26,974/79,591/311

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 76,974,591

Least Common Multiple of Numerators i.e. LCM of 76,974,591 is 21874092.

GCF of Denominators means GCF of 26,79,311 as per the given fractions.

GCF of 26,79,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,974,591

LCM of Fractions 76/26,974/79,591/311 is 21874092

2 76, 974, 591
38, 487, 591

∴ So the LCM of the given numbers is 2 x 38 x 487 x 591 = 21874092

Least Common Multiple of 76,974,591 with GCF Formula

Least Common Multiple of 76,974,591 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 76,974,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,974,591) = 1

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

GCF(76,974,591) x common factors =1 x 2 = 2

LCM(76,974,591) = ( 76 × 974 × 591 ) / 2

LCM(76,974,591) = 43748184 / 2

LCM(76,974,591) = 21874092


Lets's calculate GCF of 26,79,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21874092/1

Therefore the LCM of Fractions 76/26,974/79,591/311 is 21874092

Greatest Common Factor of 26,79,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,79,311 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 26,79,311 . The biggest common factor number is the GCF number.
So the greatest common factor 26,79,311 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 76/26, 974/79, 591/311

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 76/26, 974/79, 591/311?

Answer: LCM of Numerators as per given numbers 76/26, 974/79, 591/311 is

LCM of Numerators i.e. for 76,974,591 is 21874092

GCF of denominators i.e. for 26,79,311 is 1.

Thus, LCM of Fractions is 21874092.Finally, LCM of Fractions for 76/26, 974/79, 591/311 is 21874092.