Least Common Multiple of 31/534, 81/772, 108/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/534, 81/772, 108/380 quickly i.e. 5022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/534, 81/772, 108/380 is 5022.

LCM(31/534, 81/772, 108/380) = 5022

LCM of 31/534, 81/772, 108/380

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 31/534,81/772,108/380

Given numbers are 31/534,81/772,108/380

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 31,81,108

Least Common Multiple of Numerators i.e. LCM of 31,81,108 is 10044.

GCF of Denominators means GCF of 534,772,380 as per the given fractions.

GCF of 534,772,380 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,81,108

LCM of Fractions 31/534,81/772,108/380 is 5022

3 31, 81, 108
3 31, 27, 36
3 31, 9, 12
31, 3, 4

∴ So the LCM of the given numbers is 3 x 3 x 3 x 31 x 3 x 4 = 10044

Least Common Multiple of 31,81,108 with GCF Formula

Least Common Multiple of 31,81,108 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 31,81,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,81,108) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(31,81,108) x common factors =1 x 27 = 27

LCM(31,81,108) = ( 31 × 81 × 108 ) / 27

LCM(31,81,108) = 271188 / 27

LCM(31,81,108) = 10044


Lets's calculate GCF of 534,772,380

2 534, 772, 380
267, 386, 190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10044/2

Therefore the LCM of Fractions 31/534,81/772,108/380 is 5022

Greatest Common Factor of 534,772,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,772,380 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 534,772,380 . The biggest common factor number is the GCF number.
So the greatest common factor 534,772,380 is 2.


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 31/534, 81/772, 108/380

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 31/534, 81/772, 108/380?

Answer: LCM of Numerators as per given numbers 31/534, 81/772, 108/380 is

LCM of Numerators i.e. for 31,81,108 is 10044

GCF of denominators i.e. for 534,772,380 is 2.

Thus, LCM of Fractions is 5022.Finally, LCM of Fractions for 31/534, 81/772, 108/380 is 5022.