Least Common Multiple of 6981/165, 1494/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6981/165, 1494/396 quickly i.e. 3476538/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6981/165, 1494/396 is 3476538/33.

LCM(6981/165, 1494/396) = 3476538/33

LCM of 6981/165, 1494/396

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 6981/165,1494/396

Given numbers are 6981/165,1494/396

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 6981,1494

Least Common Multiple of Numerators i.e. LCM of 6981,1494 is 3476538.

GCF of Denominators means GCF of 165,396 as per the given fractions.

GCF of 165,396 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6981,1494

LCM of Fractions 6981/165,1494/396 is 3476538/33

3 6981, 1494
2327, 498

∴ So the LCM of the given numbers is 3 x 2327 x 498 = 3476538

Least Common Multiple of 6981,1494 with GCF Formula

Least Common Multiple of 6981,1494 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 6981,1494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6981,1494) = 3

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

GCF(6981,1494) x common factors =3 x 1 = 3

LCM(6981,1494) = ( 6981 × 1494 ) / 3

LCM(6981,1494) = 10429614 / 3

LCM(6981,1494) = 3476538


Lets's calculate GCF of 165,396

3 165, 396
11 55, 132
5, 12

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3476538/33

Therefore the LCM of Fractions 6981/165,1494/396 is 3476538/33

Greatest Common Factor of 165,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,396 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 165,396 . The biggest common factor number is the GCF number.
So the greatest common factor 165,396 is 33.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6981/165, 1494/396

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 6981/165, 1494/396?

Answer: LCM of Numerators as per given numbers 6981/165, 1494/396 is

LCM of Numerators i.e. for 6981,1494 is 3476538

GCF of denominators i.e. for 165,396 is 33.

Thus, LCM of Fractions is 3476538/33.Finally, LCM of Fractions for 6981/165, 1494/396 is 3476538/33.