Least Common Multiple of 26/34, 82/79, 761/47

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/34, 82/79, 761/47 quickly i.e. 811226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/34, 82/79, 761/47 is 811226.

LCM(26/34, 82/79, 761/47) = 811226

LCM of 26/34, 82/79, 761/47

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 26/34,82/79,761/47

Given numbers are 26/34,82/79,761/47

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 26,82,761

Least Common Multiple of Numerators i.e. LCM of 26,82,761 is 811226.

GCF of Denominators means GCF of 34,79,47 as per the given fractions.

GCF of 34,79,47 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,82,761

LCM of Fractions 26/34,82/79,761/47 is 811226

2 26, 82, 761
13, 41, 761

∴ So the LCM of the given numbers is 2 x 13 x 41 x 761 = 811226

Least Common Multiple of 26,82,761 with GCF Formula

Least Common Multiple of 26,82,761 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 26,82,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,82,761) = 1

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

GCF(26,82,761) x common factors =1 x 2 = 2

LCM(26,82,761) = ( 26 × 82 × 761 ) / 2

LCM(26,82,761) = 1622452 / 2

LCM(26,82,761) = 811226


Lets's calculate GCF of 34,79,47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811226/1

Therefore the LCM of Fractions 26/34,82/79,761/47 is 811226

Greatest Common Factor of 34,79,47 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,79,47 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 79

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

1,79

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Greatest Common Factor

We found the factors 34,79,47 . The biggest common factor number is the GCF number.
So the greatest common factor 34,79,47 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 26/34, 82/79, 761/47

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 26/34, 82/79, 761/47?

Answer: LCM of Numerators as per given numbers 26/34, 82/79, 761/47 is

LCM of Numerators i.e. for 26,82,761 is 811226

GCF of denominators i.e. for 34,79,47 is 1.

Thus, LCM of Fractions is 811226.Finally, LCM of Fractions for 26/34, 82/79, 761/47 is 811226.