Least Common Multiple of 813/284, 8040/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/284, 8040/690 quickly i.e. 1089420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/284, 8040/690 is 1089420.

LCM(813/284, 8040/690) = 1089420

LCM of 813/284, 8040/690

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 813/284,8040/690

Given numbers are 813/284,8040/690

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 813,8040

Least Common Multiple of Numerators i.e. LCM of 813,8040 is 2178840.

GCF of Denominators means GCF of 284,690 as per the given fractions.

GCF of 284,690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,8040

LCM of Fractions 813/284,8040/690 is 1089420

3 813, 8040
271, 2680

∴ So the LCM of the given numbers is 3 x 271 x 2680 = 2178840

Least Common Multiple of 813,8040 with GCF Formula

Least Common Multiple of 813,8040 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 813,8040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,8040) = 3

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

GCF(813,8040) x common factors =3 x 1 = 3

LCM(813,8040) = ( 813 × 8040 ) / 3

LCM(813,8040) = 6536520 / 3

LCM(813,8040) = 2178840


Lets's calculate GCF of 284,690

2 284, 690
142, 345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2178840/2

Therefore the LCM of Fractions 813/284,8040/690 is 1089420

Greatest Common Factor of 284,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,690 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 284,690 . The biggest common factor number is the GCF number.
So the greatest common factor 284,690 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 813/284, 8040/690

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 813/284, 8040/690?

Answer: LCM of Numerators as per given numbers 813/284, 8040/690 is

LCM of Numerators i.e. for 813,8040 is 2178840

GCF of denominators i.e. for 284,690 is 2.

Thus, LCM of Fractions is 1089420.Finally, LCM of Fractions for 813/284, 8040/690 is 1089420.