Least Common Multiple of 2112/790, 6771/3343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2112/790, 6771/3343 quickly i.e. 4766784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2112/790, 6771/3343 is 4766784.

LCM(2112/790, 6771/3343) = 4766784

LCM of 2112/790, 6771/3343

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 2112/790,6771/3343

Given numbers are 2112/790,6771/3343

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 2112,6771

Least Common Multiple of Numerators i.e. LCM of 2112,6771 is 4766784.

GCF of Denominators means GCF of 790,3343 as per the given fractions.

GCF of 790,3343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2112,6771

LCM of Fractions 2112/790,6771/3343 is 4766784

3 2112, 6771
704, 2257

∴ So the LCM of the given numbers is 3 x 704 x 2257 = 4766784

Least Common Multiple of 2112,6771 with GCF Formula

Least Common Multiple of 2112,6771 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 2112,6771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2112,6771) = 3

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

GCF(2112,6771) x common factors =3 x 1 = 3

LCM(2112,6771) = ( 2112 × 6771 ) / 3

LCM(2112,6771) = 14300352 / 3

LCM(2112,6771) = 4766784


Lets's calculate GCF of 790,3343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4766784/1

Therefore the LCM of Fractions 2112/790,6771/3343 is 4766784

Greatest Common Factor of 790,3343 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,3343 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 3343

List of positive integer factors of 3343 that divides 3343 without a remainder.

1,3343

Greatest Common Factor

We found the factors 790,3343 . The biggest common factor number is the GCF number.
So the greatest common factor 790,3343 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 2112/790, 6771/3343

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 2112/790, 6771/3343?

Answer: LCM of Numerators as per given numbers 2112/790, 6771/3343 is

LCM of Numerators i.e. for 2112,6771 is 4766784

GCF of denominators i.e. for 790,3343 is 1.

Thus, LCM of Fractions is 4766784.Finally, LCM of Fractions for 2112/790, 6771/3343 is 4766784.