Least Common Multiple of 8121/820, 6795/4634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8121/820, 6795/4634 quickly i.e. 18394065/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8121/820, 6795/4634 is 18394065/2.

LCM(8121/820, 6795/4634) = 18394065/2

LCM of 8121/820, 6795/4634

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 8121/820,6795/4634

Given numbers are 8121/820,6795/4634

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 8121,6795

Least Common Multiple of Numerators i.e. LCM of 8121,6795 is 18394065.

GCF of Denominators means GCF of 820,4634 as per the given fractions.

GCF of 820,4634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8121,6795

LCM of Fractions 8121/820,6795/4634 is 18394065/2

3 8121, 6795
2707, 2265

∴ So the LCM of the given numbers is 3 x 2707 x 2265 = 18394065

Least Common Multiple of 8121,6795 with GCF Formula

Least Common Multiple of 8121,6795 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 8121,6795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8121,6795) = 3

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

GCF(8121,6795) x common factors =3 x 1 = 3

LCM(8121,6795) = ( 8121 × 6795 ) / 3

LCM(8121,6795) = 55182195 / 3

LCM(8121,6795) = 18394065


Lets's calculate GCF of 820,4634

2 820, 4634
410, 2317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18394065/2

Therefore the LCM of Fractions 8121/820,6795/4634 is 18394065/2

Greatest Common Factor of 820,4634 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,4634 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1,2,7,14,331,662,2317,4634

Greatest Common Factor

We found the factors 820,4634 . The biggest common factor number is the GCF number.
So the greatest common factor 820,4634 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 8121/820, 6795/4634

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 8121/820, 6795/4634?

Answer: LCM of Numerators as per given numbers 8121/820, 6795/4634 is

LCM of Numerators i.e. for 8121,6795 is 18394065

GCF of denominators i.e. for 820,4634 is 2.

Thus, LCM of Fractions is 18394065/2.Finally, LCM of Fractions for 8121/820, 6795/4634 is 18394065/2.