Least Common Multiple of 2181/825, 6318/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2181/825, 6318/831 quickly i.e. 1531062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2181/825, 6318/831 is 1531062.

LCM(2181/825, 6318/831) = 1531062

LCM of 2181/825, 6318/831

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 2181/825,6318/831

Given numbers are 2181/825,6318/831

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 2181,6318

Least Common Multiple of Numerators i.e. LCM of 2181,6318 is 4593186.

GCF of Denominators means GCF of 825,831 as per the given fractions.

GCF of 825,831 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2181,6318

LCM of Fractions 2181/825,6318/831 is 1531062

3 2181, 6318
727, 2106

∴ So the LCM of the given numbers is 3 x 727 x 2106 = 4593186

Least Common Multiple of 2181,6318 with GCF Formula

Least Common Multiple of 2181,6318 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 2181,6318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2181,6318) = 3

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

GCF(2181,6318) x common factors =3 x 1 = 3

LCM(2181,6318) = ( 2181 × 6318 ) / 3

LCM(2181,6318) = 13779558 / 3

LCM(2181,6318) = 4593186


Lets's calculate GCF of 825,831

3 825, 831
275, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4593186/3

Therefore the LCM of Fractions 2181/825,6318/831 is 1531062

Greatest Common Factor of 825,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,831 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 825,831 . The biggest common factor number is the GCF number.
So the greatest common factor 825,831 is 3.


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 2181/825, 6318/831

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 2181/825, 6318/831?

Answer: LCM of Numerators as per given numbers 2181/825, 6318/831 is

LCM of Numerators i.e. for 2181,6318 is 4593186

GCF of denominators i.e. for 825,831 is 3.

Thus, LCM of Fractions is 1531062.Finally, LCM of Fractions for 2181/825, 6318/831 is 1531062.