Least Common Multiple of 1641/843, 9642/6657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1641/843, 9642/6657 quickly i.e. 1758058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1641/843, 9642/6657 is 1758058.

LCM(1641/843, 9642/6657) = 1758058

LCM of 1641/843, 9642/6657

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 1641/843,9642/6657

Given numbers are 1641/843,9642/6657

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 1641,9642

Least Common Multiple of Numerators i.e. LCM of 1641,9642 is 5274174.

GCF of Denominators means GCF of 843,6657 as per the given fractions.

GCF of 843,6657 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1641,9642

LCM of Fractions 1641/843,9642/6657 is 1758058

3 1641, 9642
547, 3214

∴ So the LCM of the given numbers is 3 x 547 x 3214 = 5274174

Least Common Multiple of 1641,9642 with GCF Formula

Least Common Multiple of 1641,9642 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 1641,9642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1641,9642) = 3

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

GCF(1641,9642) x common factors =3 x 1 = 3

LCM(1641,9642) = ( 1641 × 9642 ) / 3

LCM(1641,9642) = 15822522 / 3

LCM(1641,9642) = 5274174


Lets's calculate GCF of 843,6657

3 843, 6657
281, 2219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5274174/3

Therefore the LCM of Fractions 1641/843,9642/6657 is 1758058

Greatest Common Factor of 843,6657 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,6657 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 6657

List of positive integer factors of 6657 that divides 6657 without a remainder.

1,3,7,21,317,951,2219,6657

Greatest Common Factor

We found the factors 843,6657 . The biggest common factor number is the GCF number.
So the greatest common factor 843,6657 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 1641/843, 9642/6657

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 1641/843, 9642/6657?

Answer: LCM of Numerators as per given numbers 1641/843, 9642/6657 is

LCM of Numerators i.e. for 1641,9642 is 5274174

GCF of denominators i.e. for 843,6657 is 3.

Thus, LCM of Fractions is 1758058.Finally, LCM of Fractions for 1641/843, 9642/6657 is 1758058.