Least Common Multiple of 1806/333, 7317/3198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1806/333, 7317/3198 quickly i.e. 1468278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1806/333, 7317/3198 is 1468278.

LCM(1806/333, 7317/3198) = 1468278

LCM of 1806/333, 7317/3198

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 1806/333,7317/3198

Given numbers are 1806/333,7317/3198

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 1806,7317

Least Common Multiple of Numerators i.e. LCM of 1806,7317 is 4404834.

GCF of Denominators means GCF of 333,3198 as per the given fractions.

GCF of 333,3198 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1806,7317

LCM of Fractions 1806/333,7317/3198 is 1468278

3 1806, 7317
602, 2439

∴ So the LCM of the given numbers is 3 x 602 x 2439 = 4404834

Least Common Multiple of 1806,7317 with GCF Formula

Least Common Multiple of 1806,7317 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 1806,7317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1806,7317) = 3

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

GCF(1806,7317) x common factors =3 x 1 = 3

LCM(1806,7317) = ( 1806 × 7317 ) / 3

LCM(1806,7317) = 13214502 / 3

LCM(1806,7317) = 4404834


Lets's calculate GCF of 333,3198

3 333, 3198
111, 1066

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4404834/3

Therefore the LCM of Fractions 1806/333,7317/3198 is 1468278

Greatest Common Factor of 333,3198 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,3198 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198

Greatest Common Factor

We found the factors 333,3198 . The biggest common factor number is the GCF number.
So the greatest common factor 333,3198 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 1806/333, 7317/3198

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 1806/333, 7317/3198?

Answer: LCM of Numerators as per given numbers 1806/333, 7317/3198 is

LCM of Numerators i.e. for 1806,7317 is 4404834

GCF of denominators i.e. for 333,3198 is 3.

Thus, LCM of Fractions is 1468278.Finally, LCM of Fractions for 1806/333, 7317/3198 is 1468278.