Least Common Multiple of 6618/73, 2789/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6618/73, 2789/821 quickly i.e. 18457602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6618/73, 2789/821 is 18457602.

LCM(6618/73, 2789/821) = 18457602

LCM of 6618/73, 2789/821

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 6618/73,2789/821

Given numbers are 6618/73,2789/821

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 6618,2789

Least Common Multiple of Numerators i.e. LCM of 6618,2789 is 18457602.

GCF of Denominators means GCF of 73,821 as per the given fractions.

GCF of 73,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6618,2789

LCM of Fractions 6618/73,2789/821 is 18457602

Given numbers has no common factors except 1. So, there LCM is their product i.e 18457602

Least Common Multiple of 6618,2789 with GCF Formula

Least Common Multiple of 6618,2789 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 6618,2789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6618,2789) = 1

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

GCF(6618,2789) x common factors =1 x 1 = 1

LCM(6618,2789) = ( 6618 × 2789 ) / 1

LCM(6618,2789) = 18457602 / 1

LCM(6618,2789) = 18457602


Lets's calculate GCF of 73,821

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18457602/1

Therefore the LCM of Fractions 6618/73,2789/821 is 18457602

Greatest Common Factor of 73,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,821 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 73,821 . The biggest common factor number is the GCF number.
So the greatest common factor 73,821 is 1.


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 6618/73, 2789/821

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 6618/73, 2789/821?

Answer: LCM of Numerators as per given numbers 6618/73, 2789/821 is

LCM of Numerators i.e. for 6618,2789 is 18457602

GCF of denominators i.e. for 73,821 is 1.

Thus, LCM of Fractions is 18457602.Finally, LCM of Fractions for 6618/73, 2789/821 is 18457602.