Least Common Multiple of 882/589, 131/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/589, 131/380 quickly i.e. 115542/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/589, 131/380 is 115542/19.

LCM(882/589, 131/380) = 115542/19

LCM of 882/589, 131/380

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 882/589,131/380

Given numbers are 882/589,131/380

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 882,131

Least Common Multiple of Numerators i.e. LCM of 882,131 is 115542.

GCF of Denominators means GCF of 589,380 as per the given fractions.

GCF of 589,380 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,131

LCM of Fractions 882/589,131/380 is 115542/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 115542

Least Common Multiple of 882,131 with GCF Formula

Least Common Multiple of 882,131 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 882,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,131) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(882,131) x common factors =1 x 1 = 1

LCM(882,131) = ( 882 × 131 ) / 1

LCM(882,131) = 115542 / 1

LCM(882,131) = 115542


Lets's calculate GCF of 589,380

19 589, 380
31, 20

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115542/19

Therefore the LCM of Fractions 882/589,131/380 is 115542/19

Greatest Common Factor of 589,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,380 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

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 589,380 . The biggest common factor number is the GCF number.
So the greatest common factor 589,380 is 19.


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 882/589, 131/380

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 882/589, 131/380?

Answer: LCM of Numerators as per given numbers 882/589, 131/380 is

LCM of Numerators i.e. for 882,131 is 115542

GCF of denominators i.e. for 589,380 is 19.

Thus, LCM of Fractions is 115542/19.Finally, LCM of Fractions for 882/589, 131/380 is 115542/19.