Least Common Multiple of 381/781, 792/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/781, 792/195 quickly i.e. 100584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/781, 792/195 is 100584.

LCM(381/781, 792/195) = 100584

LCM of 381/781, 792/195

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 381/781,792/195

Given numbers are 381/781,792/195

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 381,792

Least Common Multiple of Numerators i.e. LCM of 381,792 is 100584.

GCF of Denominators means GCF of 781,195 as per the given fractions.

GCF of 781,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,792

LCM of Fractions 381/781,792/195 is 100584

3 381, 792
127, 264

∴ So the LCM of the given numbers is 3 x 127 x 264 = 100584

Least Common Multiple of 381,792 with GCF Formula

Least Common Multiple of 381,792 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 381,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,792) = 3

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

GCF(381,792) x common factors =3 x 1 = 3

LCM(381,792) = ( 381 × 792 ) / 3

LCM(381,792) = 301752 / 3

LCM(381,792) = 100584


Lets's calculate GCF of 781,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100584/1

Therefore the LCM of Fractions 381/781,792/195 is 100584

Greatest Common Factor of 781,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,195 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 781,195 . The biggest common factor number is the GCF number.
So the greatest common factor 781,195 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 381/781, 792/195

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 381/781, 792/195?

Answer: LCM of Numerators as per given numbers 381/781, 792/195 is

LCM of Numerators i.e. for 381,792 is 100584

GCF of denominators i.e. for 781,195 is 1.

Thus, LCM of Fractions is 100584.Finally, LCM of Fractions for 381/781, 792/195 is 100584.