Least Common Multiple of 769/26, 395/43, 839/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 769/26, 395/43, 839/915 quickly i.e. 254850445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/26, 395/43, 839/915 is 254850445.

LCM(769/26, 395/43, 839/915) = 254850445

LCM of 769/26, 395/43, 839/915

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 769/26,395/43,839/915

Given numbers are 769/26,395/43,839/915

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 769,395,839

Least Common Multiple of Numerators i.e. LCM of 769,395,839 is 254850445.

GCF of Denominators means GCF of 26,43,915 as per the given fractions.

GCF of 26,43,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,395,839

LCM of Fractions 769/26,395/43,839/915 is 254850445

Given numbers has no common factors except 1. So, there LCM is their product i.e 254850445

Least Common Multiple of 769,395,839 with GCF Formula

Least Common Multiple of 769,395,839 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 769,395,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,395,839) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(769,395,839) x common factors =1 x 1 = 1

LCM(769,395,839) = ( 769 × 395 × 839 ) / 1

LCM(769,395,839) = 254850445 / 1

LCM(769,395,839) = 254850445


Lets's calculate GCF of 26,43,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254850445/1

Therefore the LCM of Fractions 769/26,395/43,839/915 is 254850445

Greatest Common Factor of 26,43,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,43,915 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 26,43,915 . The biggest common factor number is the GCF number.
So the greatest common factor 26,43,915 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 769/26, 395/43, 839/915

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 769/26, 395/43, 839/915?

Answer: LCM of Numerators as per given numbers 769/26, 395/43, 839/915 is

LCM of Numerators i.e. for 769,395,839 is 254850445

GCF of denominators i.e. for 26,43,915 is 1.

Thus, LCM of Fractions is 254850445.Finally, LCM of Fractions for 769/26, 395/43, 839/915 is 254850445.