Least Common Multiple of 3843/524, 1788/5674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3843/524, 1788/5674 quickly i.e. 1145214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3843/524, 1788/5674 is 1145214.

LCM(3843/524, 1788/5674) = 1145214

LCM of 3843/524, 1788/5674

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 3843/524,1788/5674

Given numbers are 3843/524,1788/5674

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 3843,1788

Least Common Multiple of Numerators i.e. LCM of 3843,1788 is 2290428.

GCF of Denominators means GCF of 524,5674 as per the given fractions.

GCF of 524,5674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3843,1788

LCM of Fractions 3843/524,1788/5674 is 1145214

3 3843, 1788
1281, 596

∴ So the LCM of the given numbers is 3 x 1281 x 596 = 2290428

Least Common Multiple of 3843,1788 with GCF Formula

Least Common Multiple of 3843,1788 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 3843,1788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3843,1788) = 3

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

GCF(3843,1788) x common factors =3 x 1 = 3

LCM(3843,1788) = ( 3843 × 1788 ) / 3

LCM(3843,1788) = 6871284 / 3

LCM(3843,1788) = 2290428


Lets's calculate GCF of 524,5674

2 524, 5674
262, 2837

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2290428/2

Therefore the LCM of Fractions 3843/524,1788/5674 is 1145214

Greatest Common Factor of 524,5674 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,5674 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 5674

List of positive integer factors of 5674 that divides 5674 without a remainder.

1,2,2837,5674

Greatest Common Factor

We found the factors 524,5674 . The biggest common factor number is the GCF number.
So the greatest common factor 524,5674 is 2.


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 3843/524, 1788/5674

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 3843/524, 1788/5674?

Answer: LCM of Numerators as per given numbers 3843/524, 1788/5674 is

LCM of Numerators i.e. for 3843,1788 is 2290428

GCF of denominators i.e. for 524,5674 is 2.

Thus, LCM of Fractions is 1145214.Finally, LCM of Fractions for 3843/524, 1788/5674 is 1145214.