Least Common Multiple of 26/80, 17/11, 566/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/80, 17/11, 566/346 quickly i.e. 125086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/80, 17/11, 566/346 is 125086.

LCM(26/80, 17/11, 566/346) = 125086

LCM of 26/80, 17/11, 566/346

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 26/80,17/11,566/346

Given numbers are 26/80,17/11,566/346

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 26,17,566

Least Common Multiple of Numerators i.e. LCM of 26,17,566 is 125086.

GCF of Denominators means GCF of 80,11,346 as per the given fractions.

GCF of 80,11,346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,17,566

LCM of Fractions 26/80,17/11,566/346 is 125086

2 26, 17, 566
13, 17, 283

∴ So the LCM of the given numbers is 2 x 13 x 17 x 283 = 125086

Least Common Multiple of 26,17,566 with GCF Formula

Least Common Multiple of 26,17,566 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 26,17,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,17,566) = 1

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

GCF(26,17,566) x common factors =1 x 2 = 2

LCM(26,17,566) = ( 26 × 17 × 566 ) / 2

LCM(26,17,566) = 250172 / 2

LCM(26,17,566) = 125086


Lets's calculate GCF of 80,11,346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125086/1

Therefore the LCM of Fractions 26/80,17/11,566/346 is 125086

Greatest Common Factor of 80,11,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,11,346 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 80,11,346 . The biggest common factor number is the GCF number.
So the greatest common factor 80,11,346 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 26/80, 17/11, 566/346

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 26/80, 17/11, 566/346?

Answer: LCM of Numerators as per given numbers 26/80, 17/11, 566/346 is

LCM of Numerators i.e. for 26,17,566 is 125086

GCF of denominators i.e. for 80,11,346 is 1.

Thus, LCM of Fractions is 125086.Finally, LCM of Fractions for 26/80, 17/11, 566/346 is 125086.