Least Common Multiple of 618/192, 956/903, 329/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/192, 956/903, 329/138 quickly i.e. 32395972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/192, 956/903, 329/138 is 32395972.

LCM(618/192, 956/903, 329/138) = 32395972

LCM of 618/192, 956/903, 329/138

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 618/192,956/903,329/138

Given numbers are 618/192,956/903,329/138

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 618,956,329

Least Common Multiple of Numerators i.e. LCM of 618,956,329 is 97187916.

GCF of Denominators means GCF of 192,903,138 as per the given fractions.

GCF of 192,903,138 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,956,329

LCM of Fractions 618/192,956/903,329/138 is 32395972

2 618, 956, 329
309, 478, 329

∴ So the LCM of the given numbers is 2 x 309 x 478 x 329 = 97187916

Least Common Multiple of 618,956,329 with GCF Formula

Least Common Multiple of 618,956,329 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 618,956,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,956,329) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(618,956,329) x common factors =1 x 2 = 2

LCM(618,956,329) = ( 618 × 956 × 329 ) / 2

LCM(618,956,329) = 194375832 / 2

LCM(618,956,329) = 97187916


Lets's calculate GCF of 192,903,138

3 192, 903, 138
64, 301, 46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97187916/3

Therefore the LCM of Fractions 618/192,956/903,329/138 is 32395972

Greatest Common Factor of 192,903,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,903,138 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 192,903,138 . The biggest common factor number is the GCF number.
So the greatest common factor 192,903,138 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 618/192, 956/903, 329/138

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 618/192, 956/903, 329/138?

Answer: LCM of Numerators as per given numbers 618/192, 956/903, 329/138 is

LCM of Numerators i.e. for 618,956,329 is 97187916

GCF of denominators i.e. for 192,903,138 is 3.

Thus, LCM of Fractions is 32395972.Finally, LCM of Fractions for 618/192, 956/903, 329/138 is 32395972.