Least Common Multiple of 8271/843, 1842/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8271/843, 1842/588 quickly i.e. 1692798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8271/843, 1842/588 is 1692798.

LCM(8271/843, 1842/588) = 1692798

LCM of 8271/843, 1842/588

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 8271/843,1842/588

Given numbers are 8271/843,1842/588

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 8271,1842

Least Common Multiple of Numerators i.e. LCM of 8271,1842 is 5078394.

GCF of Denominators means GCF of 843,588 as per the given fractions.

GCF of 843,588 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8271,1842

LCM of Fractions 8271/843,1842/588 is 1692798

3 8271, 1842
2757, 614

∴ So the LCM of the given numbers is 3 x 2757 x 614 = 5078394

Least Common Multiple of 8271,1842 with GCF Formula

Least Common Multiple of 8271,1842 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 8271,1842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8271,1842) = 3

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

GCF(8271,1842) x common factors =3 x 1 = 3

LCM(8271,1842) = ( 8271 × 1842 ) / 3

LCM(8271,1842) = 15235182 / 3

LCM(8271,1842) = 5078394


Lets's calculate GCF of 843,588

3 843, 588
281, 196

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5078394/3

Therefore the LCM of Fractions 8271/843,1842/588 is 1692798

Greatest Common Factor of 843,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,588 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 843,588 . The biggest common factor number is the GCF number.
So the greatest common factor 843,588 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8271/843, 1842/588

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 8271/843, 1842/588?

Answer: LCM of Numerators as per given numbers 8271/843, 1842/588 is

LCM of Numerators i.e. for 8271,1842 is 5078394

GCF of denominators i.e. for 843,588 is 3.

Thus, LCM of Fractions is 1692798.Finally, LCM of Fractions for 8271/843, 1842/588 is 1692798.