Least Common Multiple of 3111/690, 1737/4431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3111/690, 1737/4431 quickly i.e. 600423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3111/690, 1737/4431 is 600423.

LCM(3111/690, 1737/4431) = 600423

LCM of 3111/690, 1737/4431

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 3111/690,1737/4431

Given numbers are 3111/690,1737/4431

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 3111,1737

Least Common Multiple of Numerators i.e. LCM of 3111,1737 is 1801269.

GCF of Denominators means GCF of 690,4431 as per the given fractions.

GCF of 690,4431 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3111,1737

LCM of Fractions 3111/690,1737/4431 is 600423

3 3111, 1737
1037, 579

∴ So the LCM of the given numbers is 3 x 1037 x 579 = 1801269

Least Common Multiple of 3111,1737 with GCF Formula

Least Common Multiple of 3111,1737 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 3111,1737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3111,1737) = 3

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

GCF(3111,1737) x common factors =3 x 1 = 3

LCM(3111,1737) = ( 3111 × 1737 ) / 3

LCM(3111,1737) = 5403807 / 3

LCM(3111,1737) = 1801269


Lets's calculate GCF of 690,4431

3 690, 4431
230, 1477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1801269/3

Therefore the LCM of Fractions 3111/690,1737/4431 is 600423

Greatest Common Factor of 690,4431 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,4431 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 4431

List of positive integer factors of 4431 that divides 4431 without a remainder.

1,3,7,21,211,633,1477,4431

Greatest Common Factor

We found the factors 690,4431 . The biggest common factor number is the GCF number.
So the greatest common factor 690,4431 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 3111/690, 1737/4431

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 3111/690, 1737/4431?

Answer: LCM of Numerators as per given numbers 3111/690, 1737/4431 is

LCM of Numerators i.e. for 3111,1737 is 1801269

GCF of denominators i.e. for 690,4431 is 3.

Thus, LCM of Fractions is 600423.Finally, LCM of Fractions for 3111/690, 1737/4431 is 600423.