Least Common Multiple of 382/183, 981/892, 317/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 382/183, 981/892, 317/790 quickly i.e. 118793214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/183, 981/892, 317/790 is 118793214.

LCM(382/183, 981/892, 317/790) = 118793214

LCM of 382/183, 981/892, 317/790

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 382/183,981/892,317/790

Given numbers are 382/183,981/892,317/790

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 382,981,317

Least Common Multiple of Numerators i.e. LCM of 382,981,317 is 118793214.

GCF of Denominators means GCF of 183,892,790 as per the given fractions.

GCF of 183,892,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,981,317

LCM of Fractions 382/183,981/892,317/790 is 118793214

Given numbers has no common factors except 1. So, there LCM is their product i.e 118793214

Least Common Multiple of 382,981,317 with GCF Formula

Least Common Multiple of 382,981,317 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 382,981,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,981,317) = 1

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

GCF(382,981,317) x common factors =1 x 1 = 1

LCM(382,981,317) = ( 382 × 981 × 317 ) / 1

LCM(382,981,317) = 118793214 / 1

LCM(382,981,317) = 118793214


Lets's calculate GCF of 183,892,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118793214/1

Therefore the LCM of Fractions 382/183,981/892,317/790 is 118793214

Greatest Common Factor of 183,892,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,892,790 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 183,892,790 . The biggest common factor number is the GCF number.
So the greatest common factor 183,892,790 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 382/183, 981/892, 317/790

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 382/183, 981/892, 317/790?

Answer: LCM of Numerators as per given numbers 382/183, 981/892, 317/790 is

LCM of Numerators i.e. for 382,981,317 is 118793214

GCF of denominators i.e. for 183,892,790 is 1.

Thus, LCM of Fractions is 118793214.Finally, LCM of Fractions for 382/183, 981/892, 317/790 is 118793214.