Least Common Multiple of 6779/489, 3252/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6779/489, 3252/378 quickly i.e. 7348436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6779/489, 3252/378 is 7348436.

LCM(6779/489, 3252/378) = 7348436

LCM of 6779/489, 3252/378

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 6779/489,3252/378

Given numbers are 6779/489,3252/378

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 6779,3252

Least Common Multiple of Numerators i.e. LCM of 6779,3252 is 22045308.

GCF of Denominators means GCF of 489,378 as per the given fractions.

GCF of 489,378 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6779,3252

LCM of Fractions 6779/489,3252/378 is 7348436

Given numbers has no common factors except 1. So, there LCM is their product i.e 22045308

Least Common Multiple of 6779,3252 with GCF Formula

Least Common Multiple of 6779,3252 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 6779,3252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6779,3252) = 1

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

GCF(6779,3252) x common factors =1 x 1 = 1

LCM(6779,3252) = ( 6779 × 3252 ) / 1

LCM(6779,3252) = 22045308 / 1

LCM(6779,3252) = 22045308


Lets's calculate GCF of 489,378

3 489, 378
163, 126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22045308/3

Therefore the LCM of Fractions 6779/489,3252/378 is 7348436

Greatest Common Factor of 489,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,378 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 489,378 . The biggest common factor number is the GCF number.
So the greatest common factor 489,378 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 6779/489, 3252/378

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 6779/489, 3252/378?

Answer: LCM of Numerators as per given numbers 6779/489, 3252/378 is

LCM of Numerators i.e. for 6779,3252 is 22045308

GCF of denominators i.e. for 489,378 is 3.

Thus, LCM of Fractions is 7348436.Finally, LCM of Fractions for 6779/489, 3252/378 is 7348436.