Least Common Multiple of 3594/686, 8031/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3594/686, 8031/618 quickly i.e. 4810569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3594/686, 8031/618 is 4810569.

LCM(3594/686, 8031/618) = 4810569

LCM of 3594/686, 8031/618

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 3594/686,8031/618

Given numbers are 3594/686,8031/618

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 3594,8031

Least Common Multiple of Numerators i.e. LCM of 3594,8031 is 9621138.

GCF of Denominators means GCF of 686,618 as per the given fractions.

GCF of 686,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3594,8031

LCM of Fractions 3594/686,8031/618 is 4810569

3 3594, 8031
1198, 2677

∴ So the LCM of the given numbers is 3 x 1198 x 2677 = 9621138

Least Common Multiple of 3594,8031 with GCF Formula

Least Common Multiple of 3594,8031 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 3594,8031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3594,8031) = 3

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

GCF(3594,8031) x common factors =3 x 1 = 3

LCM(3594,8031) = ( 3594 × 8031 ) / 3

LCM(3594,8031) = 28863414 / 3

LCM(3594,8031) = 9621138


Lets's calculate GCF of 686,618

2 686, 618
343, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9621138/2

Therefore the LCM of Fractions 3594/686,8031/618 is 4810569

Greatest Common Factor of 686,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,618 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 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 686,618 . The biggest common factor number is the GCF number.
So the greatest common factor 686,618 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 3594/686, 8031/618

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 3594/686, 8031/618?

Answer: LCM of Numerators as per given numbers 3594/686, 8031/618 is

LCM of Numerators i.e. for 3594,8031 is 9621138

GCF of denominators i.e. for 686,618 is 2.

Thus, LCM of Fractions is 4810569.Finally, LCM of Fractions for 3594/686, 8031/618 is 4810569.