Least Common Multiple of 813/428, 8604/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/428, 8604/618 quickly i.e. 1165842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/428, 8604/618 is 1165842.

LCM(813/428, 8604/618) = 1165842

LCM of 813/428, 8604/618

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 813/428,8604/618

Given numbers are 813/428,8604/618

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 813,8604

Least Common Multiple of Numerators i.e. LCM of 813,8604 is 2331684.

GCF of Denominators means GCF of 428,618 as per the given fractions.

GCF of 428,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,8604

LCM of Fractions 813/428,8604/618 is 1165842

3 813, 8604
271, 2868

∴ So the LCM of the given numbers is 3 x 271 x 2868 = 2331684

Least Common Multiple of 813,8604 with GCF Formula

Least Common Multiple of 813,8604 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 813,8604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,8604) = 3

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

GCF(813,8604) x common factors =3 x 1 = 3

LCM(813,8604) = ( 813 × 8604 ) / 3

LCM(813,8604) = 6995052 / 3

LCM(813,8604) = 2331684


Lets's calculate GCF of 428,618

2 428, 618
214, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2331684/2

Therefore the LCM of Fractions 813/428,8604/618 is 1165842

Greatest Common Factor of 428,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,618 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

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 428,618 . The biggest common factor number is the GCF number.
So the greatest common factor 428,618 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 813/428, 8604/618

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 813/428, 8604/618?

Answer: LCM of Numerators as per given numbers 813/428, 8604/618 is

LCM of Numerators i.e. for 813,8604 is 2331684

GCF of denominators i.e. for 428,618 is 2.

Thus, LCM of Fractions is 1165842.Finally, LCM of Fractions for 813/428, 8604/618 is 1165842.