Least Common Multiple of 44/25, 26/539, 309/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/25, 26/539, 309/959 quickly i.e. 176748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/25, 26/539, 309/959 is 176748.

LCM(44/25, 26/539, 309/959) = 176748

LCM of 44/25, 26/539, 309/959

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 44/25,26/539,309/959

Given numbers are 44/25,26/539,309/959

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 44,26,309

Least Common Multiple of Numerators i.e. LCM of 44,26,309 is 176748.

GCF of Denominators means GCF of 25,539,959 as per the given fractions.

GCF of 25,539,959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,26,309

LCM of Fractions 44/25,26/539,309/959 is 176748

2 44, 26, 309
22, 13, 309

∴ So the LCM of the given numbers is 2 x 22 x 13 x 309 = 176748

Least Common Multiple of 44,26,309 with GCF Formula

Least Common Multiple of 44,26,309 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 44,26,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,26,309) = 1

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

GCF(44,26,309) x common factors =1 x 2 = 2

LCM(44,26,309) = ( 44 × 26 × 309 ) / 2

LCM(44,26,309) = 353496 / 2

LCM(44,26,309) = 176748


Lets's calculate GCF of 25,539,959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176748/1

Therefore the LCM of Fractions 44/25,26/539,309/959 is 176748

Greatest Common Factor of 25,539,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,539,959 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 25,539,959 . The biggest common factor number is the GCF number.
So the greatest common factor 25,539,959 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 44/25, 26/539, 309/959

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 44/25, 26/539, 309/959?

Answer: LCM of Numerators as per given numbers 44/25, 26/539, 309/959 is

LCM of Numerators i.e. for 44,26,309 is 176748

GCF of denominators i.e. for 25,539,959 is 1.

Thus, LCM of Fractions is 176748.Finally, LCM of Fractions for 44/25, 26/539, 309/959 is 176748.