Least Common Multiple of 67/26, 14/674, 266/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/26, 14/674, 266/339 quickly i.e. 17822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/26, 14/674, 266/339 is 17822.

LCM(67/26, 14/674, 266/339) = 17822

LCM of 67/26, 14/674, 266/339

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 67/26,14/674,266/339

Given numbers are 67/26,14/674,266/339

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 67,14,266

Least Common Multiple of Numerators i.e. LCM of 67,14,266 is 17822.

GCF of Denominators means GCF of 26,674,339 as per the given fractions.

GCF of 26,674,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,14,266

LCM of Fractions 67/26,14/674,266/339 is 17822

2 67, 14, 266
7 67, 7, 133
67, 1, 19

∴ So the LCM of the given numbers is 2 x 7 x 67 x 1 x 19 = 17822

Least Common Multiple of 67,14,266 with GCF Formula

Least Common Multiple of 67,14,266 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 67,14,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,14,266) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(67,14,266) x common factors =1 x 14 = 14

LCM(67,14,266) = ( 67 × 14 × 266 ) / 14

LCM(67,14,266) = 249508 / 14

LCM(67,14,266) = 17822


Lets's calculate GCF of 26,674,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17822/1

Therefore the LCM of Fractions 67/26,14/674,266/339 is 17822

Greatest Common Factor of 26,674,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,674,339 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 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 26,674,339 . The biggest common factor number is the GCF number.
So the greatest common factor 26,674,339 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 67/26, 14/674, 266/339

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 67/26, 14/674, 266/339?

Answer: LCM of Numerators as per given numbers 67/26, 14/674, 266/339 is

LCM of Numerators i.e. for 67,14,266 is 17822

GCF of denominators i.e. for 26,674,339 is 1.

Thus, LCM of Fractions is 17822.Finally, LCM of Fractions for 67/26, 14/674, 266/339 is 17822.