Least Common Multiple of 6804/42, 3249/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6804/42, 3249/107 quickly i.e. 2456244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6804/42, 3249/107 is 2456244.

LCM(6804/42, 3249/107) = 2456244

LCM of 6804/42, 3249/107

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 6804/42,3249/107

Given numbers are 6804/42,3249/107

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 6804,3249

Least Common Multiple of Numerators i.e. LCM of 6804,3249 is 2456244.

GCF of Denominators means GCF of 42,107 as per the given fractions.

GCF of 42,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6804,3249

LCM of Fractions 6804/42,3249/107 is 2456244

3 6804, 3249
3 2268, 1083
756, 361

∴ So the LCM of the given numbers is 3 x 3 x 756 x 361 = 2456244

Least Common Multiple of 6804,3249 with GCF Formula

Least Common Multiple of 6804,3249 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 6804,3249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6804,3249) = 9

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

GCF(6804,3249) x common factors =9 x 1 = 9

LCM(6804,3249) = ( 6804 × 3249 ) / 9

LCM(6804,3249) = 22106196 / 9

LCM(6804,3249) = 2456244


Lets's calculate GCF of 42,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2456244/1

Therefore the LCM of Fractions 6804/42,3249/107 is 2456244

Greatest Common Factor of 42,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,107 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 42,107 . The biggest common factor number is the GCF number.
So the greatest common factor 42,107 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 6804/42, 3249/107

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 6804/42, 3249/107?

Answer: LCM of Numerators as per given numbers 6804/42, 3249/107 is

LCM of Numerators i.e. for 6804,3249 is 2456244

GCF of denominators i.e. for 42,107 is 1.

Thus, LCM of Fractions is 2456244.Finally, LCM of Fractions for 6804/42, 3249/107 is 2456244.