Least Common Multiple of 831/382, 2519/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/382, 2519/963 quickly i.e. 2093289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/382, 2519/963 is 2093289.

LCM(831/382, 2519/963) = 2093289

LCM of 831/382, 2519/963

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 831/382,2519/963

Given numbers are 831/382,2519/963

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 831,2519

Least Common Multiple of Numerators i.e. LCM of 831,2519 is 2093289.

GCF of Denominators means GCF of 382,963 as per the given fractions.

GCF of 382,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,2519

LCM of Fractions 831/382,2519/963 is 2093289

Given numbers has no common factors except 1. So, there LCM is their product i.e 2093289

Least Common Multiple of 831,2519 with GCF Formula

Least Common Multiple of 831,2519 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 831,2519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,2519) = 1

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

GCF(831,2519) x common factors =1 x 1 = 1

LCM(831,2519) = ( 831 × 2519 ) / 1

LCM(831,2519) = 2093289 / 1

LCM(831,2519) = 2093289


Lets's calculate GCF of 382,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2093289/1

Therefore the LCM of Fractions 831/382,2519/963 is 2093289

Greatest Common Factor of 382,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,963 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 382,963 . The biggest common factor number is the GCF number.
So the greatest common factor 382,963 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 831/382, 2519/963

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 831/382, 2519/963?

Answer: LCM of Numerators as per given numbers 831/382, 2519/963 is

LCM of Numerators i.e. for 831,2519 is 2093289

GCF of denominators i.e. for 382,963 is 1.

Thus, LCM of Fractions is 2093289.Finally, LCM of Fractions for 831/382, 2519/963 is 2093289.