Least Common Multiple of 1131/583, 3835/2412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1131/583, 3835/2412 quickly i.e. 333645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1131/583, 3835/2412 is 333645.

LCM(1131/583, 3835/2412) = 333645

LCM of 1131/583, 3835/2412

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 1131/583,3835/2412

Given numbers are 1131/583,3835/2412

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 1131,3835

Least Common Multiple of Numerators i.e. LCM of 1131,3835 is 333645.

GCF of Denominators means GCF of 583,2412 as per the given fractions.

GCF of 583,2412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1131,3835

LCM of Fractions 1131/583,3835/2412 is 333645

13 1131, 3835
87, 295

∴ So the LCM of the given numbers is 13 x 87 x 295 = 333645

Least Common Multiple of 1131,3835 with GCF Formula

Least Common Multiple of 1131,3835 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 1131,3835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1131,3835) = 13

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

GCF(1131,3835) x common factors =13 x 1 = 13

LCM(1131,3835) = ( 1131 × 3835 ) / 13

LCM(1131,3835) = 4337385 / 13

LCM(1131,3835) = 333645


Lets's calculate GCF of 583,2412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333645/1

Therefore the LCM of Fractions 1131/583,3835/2412 is 333645

Greatest Common Factor of 583,2412 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,2412 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 2412

List of positive integer factors of 2412 that divides 2412 without a remainder.

1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412

Greatest Common Factor

We found the factors 583,2412 . The biggest common factor number is the GCF number.
So the greatest common factor 583,2412 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1131/583, 3835/2412

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 1131/583, 3835/2412?

Answer: LCM of Numerators as per given numbers 1131/583, 3835/2412 is

LCM of Numerators i.e. for 1131,3835 is 333645

GCF of denominators i.e. for 583,2412 is 1.

Thus, LCM of Fractions is 333645.Finally, LCM of Fractions for 1131/583, 3835/2412 is 333645.