Least Common Multiple of 26/307, 28/663, 929/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/307, 28/663, 929/140 quickly i.e. 338156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/307, 28/663, 929/140 is 338156.

LCM(26/307, 28/663, 929/140) = 338156

LCM of 26/307, 28/663, 929/140

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 26/307,28/663,929/140

Given numbers are 26/307,28/663,929/140

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 26,28,929

Least Common Multiple of Numerators i.e. LCM of 26,28,929 is 338156.

GCF of Denominators means GCF of 307,663,140 as per the given fractions.

GCF of 307,663,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,28,929

LCM of Fractions 26/307,28/663,929/140 is 338156

2 26, 28, 929
13, 14, 929

∴ So the LCM of the given numbers is 2 x 13 x 14 x 929 = 338156

Least Common Multiple of 26,28,929 with GCF Formula

Least Common Multiple of 26,28,929 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 26,28,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,28,929) = 1

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

GCF(26,28,929) x common factors =1 x 2 = 2

LCM(26,28,929) = ( 26 × 28 × 929 ) / 2

LCM(26,28,929) = 676312 / 2

LCM(26,28,929) = 338156


Lets's calculate GCF of 307,663,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338156/1

Therefore the LCM of Fractions 26/307,28/663,929/140 is 338156

Greatest Common Factor of 307,663,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,663,140 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 307,663,140 . The biggest common factor number is the GCF number.
So the greatest common factor 307,663,140 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 26/307, 28/663, 929/140

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 26/307, 28/663, 929/140?

Answer: LCM of Numerators as per given numbers 26/307, 28/663, 929/140 is

LCM of Numerators i.e. for 26,28,929 is 338156

GCF of denominators i.e. for 307,663,140 is 1.

Thus, LCM of Fractions is 338156.Finally, LCM of Fractions for 26/307, 28/663, 929/140 is 338156.