Least Common Multiple of 531/80, 438/28, 269/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/80, 438/28, 269/52 quickly i.e. 20854494/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/80, 438/28, 269/52 is 20854494/4.

LCM(531/80, 438/28, 269/52) = 20854494/4

LCM of 531/80, 438/28, 269/52

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 531/80,438/28,269/52

Given numbers are 531/80,438/28,269/52

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 531,438,269

Least Common Multiple of Numerators i.e. LCM of 531,438,269 is 20854494.

GCF of Denominators means GCF of 80,28,52 as per the given fractions.

GCF of 80,28,52 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,438,269

LCM of Fractions 531/80,438/28,269/52 is 20854494/4

3 531, 438, 269
177, 146, 269

∴ So the LCM of the given numbers is 3 x 177 x 146 x 269 = 20854494

Least Common Multiple of 531,438,269 with GCF Formula

Least Common Multiple of 531,438,269 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 531,438,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,438,269) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(531,438,269) x common factors =1 x 3 = 3

LCM(531,438,269) = ( 531 × 438 × 269 ) / 3

LCM(531,438,269) = 62563482 / 3

LCM(531,438,269) = 20854494


Lets's calculate GCF of 80,28,52

2 80, 28, 52
2 40, 14, 26
20, 7, 13

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20854494/4

Therefore the LCM of Fractions 531/80,438/28,269/52 is 20854494/4

Greatest Common Factor of 80,28,52 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,28,52 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Greatest Common Factor

We found the factors 80,28,52 . The biggest common factor number is the GCF number.
So the greatest common factor 80,28,52 is 4.


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 531/80, 438/28, 269/52

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 531/80, 438/28, 269/52?

Answer: LCM of Numerators as per given numbers 531/80, 438/28, 269/52 is

LCM of Numerators i.e. for 531,438,269 is 20854494

GCF of denominators i.e. for 80,28,52 is 4.

Thus, LCM of Fractions is 20854494/4.Finally, LCM of Fractions for 531/80, 438/28, 269/52 is 20854494/4.