Least Common Multiple of 26/531, 638/255, 774/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/531, 638/255, 774/249 quickly i.e. 1069926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/531, 638/255, 774/249 is 1069926.

LCM(26/531, 638/255, 774/249) = 1069926

LCM of 26/531, 638/255, 774/249

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 26/531,638/255,774/249

Given numbers are 26/531,638/255,774/249

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 26,638,774

Least Common Multiple of Numerators i.e. LCM of 26,638,774 is 3209778.

GCF of Denominators means GCF of 531,255,249 as per the given fractions.

GCF of 531,255,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,638,774

LCM of Fractions 26/531,638/255,774/249 is 1069926

2 26, 638, 774
13, 319, 387

∴ So the LCM of the given numbers is 2 x 13 x 319 x 387 = 3209778

Least Common Multiple of 26,638,774 with GCF Formula

Least Common Multiple of 26,638,774 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 26,638,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,638,774) = 2

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

GCF(26,638,774) x common factors =2 x 2 = 4

LCM(26,638,774) = ( 26 × 638 × 774 ) / 4

LCM(26,638,774) = 12839112 / 4

LCM(26,638,774) = 3209778


Lets's calculate GCF of 531,255,249

3 531, 255, 249
177, 85, 83

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3209778/3

Therefore the LCM of Fractions 26/531,638/255,774/249 is 1069926

Greatest Common Factor of 531,255,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,255,249 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 531,255,249 . The biggest common factor number is the GCF number.
So the greatest common factor 531,255,249 is 3.


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 26/531, 638/255, 774/249

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 26/531, 638/255, 774/249?

Answer: LCM of Numerators as per given numbers 26/531, 638/255, 774/249 is

LCM of Numerators i.e. for 26,638,774 is 3209778

GCF of denominators i.e. for 531,255,249 is 3.

Thus, LCM of Fractions is 1069926.Finally, LCM of Fractions for 26/531, 638/255, 774/249 is 1069926.