Least Common Multiple of 843/686, 6573/1636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 843/686, 6573/1636 quickly i.e. 1847013/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/686, 6573/1636 is 1847013/2.

LCM(843/686, 6573/1636) = 1847013/2

LCM of 843/686, 6573/1636

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 843/686,6573/1636

Given numbers are 843/686,6573/1636

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 843,6573

Least Common Multiple of Numerators i.e. LCM of 843,6573 is 1847013.

GCF of Denominators means GCF of 686,1636 as per the given fractions.

GCF of 686,1636 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,6573

LCM of Fractions 843/686,6573/1636 is 1847013/2

3 843, 6573
281, 2191

∴ So the LCM of the given numbers is 3 x 281 x 2191 = 1847013

Least Common Multiple of 843,6573 with GCF Formula

Least Common Multiple of 843,6573 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 843,6573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,6573) = 3

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

GCF(843,6573) x common factors =3 x 1 = 3

LCM(843,6573) = ( 843 × 6573 ) / 3

LCM(843,6573) = 5541039 / 3

LCM(843,6573) = 1847013


Lets's calculate GCF of 686,1636

2 686, 1636
343, 818

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1847013/2

Therefore the LCM of Fractions 843/686,6573/1636 is 1847013/2

Greatest Common Factor of 686,1636 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,1636 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 1636

List of positive integer factors of 1636 that divides 1636 without a remainder.

1,2,4,409,818,1636

Greatest Common Factor

We found the factors 686,1636 . The biggest common factor number is the GCF number.
So the greatest common factor 686,1636 is 2.


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 843/686, 6573/1636

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 843/686, 6573/1636?

Answer: LCM of Numerators as per given numbers 843/686, 6573/1636 is

LCM of Numerators i.e. for 843,6573 is 1847013

GCF of denominators i.e. for 686,1636 is 2.

Thus, LCM of Fractions is 1847013/2.Finally, LCM of Fractions for 843/686, 6573/1636 is 1847013/2.