Least Common Multiple of 4689/618, 7802/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4689/618, 7802/579 quickly i.e. 12194526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4689/618, 7802/579 is 12194526.

LCM(4689/618, 7802/579) = 12194526

LCM of 4689/618, 7802/579

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 4689/618,7802/579

Given numbers are 4689/618,7802/579

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 4689,7802

Least Common Multiple of Numerators i.e. LCM of 4689,7802 is 36583578.

GCF of Denominators means GCF of 618,579 as per the given fractions.

GCF of 618,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4689,7802

LCM of Fractions 4689/618,7802/579 is 12194526

Given numbers has no common factors except 1. So, there LCM is their product i.e 36583578

Least Common Multiple of 4689,7802 with GCF Formula

Least Common Multiple of 4689,7802 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 4689,7802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4689,7802) = 1

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

GCF(4689,7802) x common factors =1 x 1 = 1

LCM(4689,7802) = ( 4689 × 7802 ) / 1

LCM(4689,7802) = 36583578 / 1

LCM(4689,7802) = 36583578


Lets's calculate GCF of 618,579

3 618, 579
206, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36583578/3

Therefore the LCM of Fractions 4689/618,7802/579 is 12194526

Greatest Common Factor of 618,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,579 By Matching Biggest Common Factor Method

Factors of 618

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

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

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 618,579 . The biggest common factor number is the GCF number.
So the greatest common factor 618,579 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 4689/618, 7802/579

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 4689/618, 7802/579?

Answer: LCM of Numerators as per given numbers 4689/618, 7802/579 is

LCM of Numerators i.e. for 4689,7802 is 36583578

GCF of denominators i.e. for 618,579 is 3.

Thus, LCM of Fractions is 12194526.Finally, LCM of Fractions for 4689/618, 7802/579 is 12194526.