Least Common Multiple of 4327/686, 2832/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4327/686, 2832/810 quickly i.e. 6127032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4327/686, 2832/810 is 6127032.

LCM(4327/686, 2832/810) = 6127032

LCM of 4327/686, 2832/810

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 4327/686,2832/810

Given numbers are 4327/686,2832/810

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 4327,2832

Least Common Multiple of Numerators i.e. LCM of 4327,2832 is 12254064.

GCF of Denominators means GCF of 686,810 as per the given fractions.

GCF of 686,810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4327,2832

LCM of Fractions 4327/686,2832/810 is 6127032

Given numbers has no common factors except 1. So, there LCM is their product i.e 12254064

Least Common Multiple of 4327,2832 with GCF Formula

Least Common Multiple of 4327,2832 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 4327,2832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4327,2832) = 1

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

GCF(4327,2832) x common factors =1 x 1 = 1

LCM(4327,2832) = ( 4327 × 2832 ) / 1

LCM(4327,2832) = 12254064 / 1

LCM(4327,2832) = 12254064


Lets's calculate GCF of 686,810

2 686, 810
343, 405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12254064/2

Therefore the LCM of Fractions 4327/686,2832/810 is 6127032

Greatest Common Factor of 686,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,810 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 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 686,810 . The biggest common factor number is the GCF number.
So the greatest common factor 686,810 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4327/686, 2832/810

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 4327/686, 2832/810?

Answer: LCM of Numerators as per given numbers 4327/686, 2832/810 is

LCM of Numerators i.e. for 4327,2832 is 12254064

GCF of denominators i.e. for 686,810 is 2.

Thus, LCM of Fractions is 6127032.Finally, LCM of Fractions for 4327/686, 2832/810 is 6127032.