Least Common Multiple of 8091/841, 3411/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8091/841, 3411/783 quickly i.e. 105741 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8091/841, 3411/783 is 105741.

LCM(8091/841, 3411/783) = 105741

LCM of 8091/841, 3411/783

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 8091/841,3411/783

Given numbers are 8091/841,3411/783

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 8091,3411

Least Common Multiple of Numerators i.e. LCM of 8091,3411 is 3066489.

GCF of Denominators means GCF of 841,783 as per the given fractions.

GCF of 841,783 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8091,3411

LCM of Fractions 8091/841,3411/783 is 105741

3 8091, 3411
3 2697, 1137
899, 379

∴ So the LCM of the given numbers is 3 x 3 x 899 x 379 = 3066489

Least Common Multiple of 8091,3411 with GCF Formula

Least Common Multiple of 8091,3411 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 8091,3411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8091,3411) = 9

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

GCF(8091,3411) x common factors =9 x 1 = 9

LCM(8091,3411) = ( 8091 × 3411 ) / 9

LCM(8091,3411) = 27598401 / 9

LCM(8091,3411) = 3066489


Lets's calculate GCF of 841,783

29 841, 783
29, 27

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3066489/29

Therefore the LCM of Fractions 8091/841,3411/783 is 105741

Greatest Common Factor of 841,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,783 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 841,783 . The biggest common factor number is the GCF number.
So the greatest common factor 841,783 is 29.


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 8091/841, 3411/783

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 8091/841, 3411/783?

Answer: LCM of Numerators as per given numbers 8091/841, 3411/783 is

LCM of Numerators i.e. for 8091,3411 is 3066489

GCF of denominators i.e. for 841,783 is 29.

Thus, LCM of Fractions is 105741.Finally, LCM of Fractions for 8091/841, 3411/783 is 105741.