Least Common Multiple of 8013/821, 7539/1428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8013/821, 7539/1428 quickly i.e. 20136669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8013/821, 7539/1428 is 20136669.

LCM(8013/821, 7539/1428) = 20136669

LCM of 8013/821, 7539/1428

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 8013/821,7539/1428

Given numbers are 8013/821,7539/1428

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 8013,7539

Least Common Multiple of Numerators i.e. LCM of 8013,7539 is 20136669.

GCF of Denominators means GCF of 821,1428 as per the given fractions.

GCF of 821,1428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8013,7539

LCM of Fractions 8013/821,7539/1428 is 20136669

3 8013, 7539
2671, 2513

∴ So the LCM of the given numbers is 3 x 2671 x 2513 = 20136669

Least Common Multiple of 8013,7539 with GCF Formula

Least Common Multiple of 8013,7539 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 8013,7539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8013,7539) = 3

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

GCF(8013,7539) x common factors =3 x 1 = 3

LCM(8013,7539) = ( 8013 × 7539 ) / 3

LCM(8013,7539) = 60410007 / 3

LCM(8013,7539) = 20136669


Lets's calculate GCF of 821,1428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20136669/1

Therefore the LCM of Fractions 8013/821,7539/1428 is 20136669

Greatest Common Factor of 821,1428 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,1428 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 1428

List of positive integer factors of 1428 that divides 1428 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428

Greatest Common Factor

We found the factors 821,1428 . The biggest common factor number is the GCF number.
So the greatest common factor 821,1428 is 1.


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 8013/821, 7539/1428

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 8013/821, 7539/1428?

Answer: LCM of Numerators as per given numbers 8013/821, 7539/1428 is

LCM of Numerators i.e. for 8013,7539 is 20136669

GCF of denominators i.e. for 821,1428 is 1.

Thus, LCM of Fractions is 20136669.Finally, LCM of Fractions for 8013/821, 7539/1428 is 20136669.