Least Common Multiple of 2031/231, 1991/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2031/231, 1991/142 quickly i.e. 4043721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2031/231, 1991/142 is 4043721.

LCM(2031/231, 1991/142) = 4043721

LCM of 2031/231, 1991/142

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 2031/231,1991/142

Given numbers are 2031/231,1991/142

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 2031,1991

Least Common Multiple of Numerators i.e. LCM of 2031,1991 is 4043721.

GCF of Denominators means GCF of 231,142 as per the given fractions.

GCF of 231,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2031,1991

LCM of Fractions 2031/231,1991/142 is 4043721

Given numbers has no common factors except 1. So, there LCM is their product i.e 4043721

Least Common Multiple of 2031,1991 with GCF Formula

Least Common Multiple of 2031,1991 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 2031,1991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2031,1991) = 1

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

GCF(2031,1991) x common factors =1 x 1 = 1

LCM(2031,1991) = ( 2031 × 1991 ) / 1

LCM(2031,1991) = 4043721 / 1

LCM(2031,1991) = 4043721


Lets's calculate GCF of 231,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4043721/1

Therefore the LCM of Fractions 2031/231,1991/142 is 4043721

Greatest Common Factor of 231,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,142 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 231,142 . The biggest common factor number is the GCF number.
So the greatest common factor 231,142 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 2031/231, 1991/142

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 2031/231, 1991/142?

Answer: LCM of Numerators as per given numbers 2031/231, 1991/142 is

LCM of Numerators i.e. for 2031,1991 is 4043721

GCF of denominators i.e. for 231,142 is 1.

Thus, LCM of Fractions is 4043721.Finally, LCM of Fractions for 2031/231, 1991/142 is 4043721.