Least Common Multiple of 813/17, 281/5043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/17, 281/5043 quickly i.e. 228453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/17, 281/5043 is 228453.

LCM(813/17, 281/5043) = 228453

LCM of 813/17, 281/5043

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 813/17,281/5043

Given numbers are 813/17,281/5043

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 813,281

Least Common Multiple of Numerators i.e. LCM of 813,281 is 228453.

GCF of Denominators means GCF of 17,5043 as per the given fractions.

GCF of 17,5043 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,281

LCM of Fractions 813/17,281/5043 is 228453

Given numbers has no common factors except 1. So, there LCM is their product i.e 228453

Least Common Multiple of 813,281 with GCF Formula

Least Common Multiple of 813,281 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 813,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,281) = 1

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

GCF(813,281) x common factors =1 x 1 = 1

LCM(813,281) = ( 813 × 281 ) / 1

LCM(813,281) = 228453 / 1

LCM(813,281) = 228453


Lets's calculate GCF of 17,5043

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228453/1

Therefore the LCM of Fractions 813/17,281/5043 is 228453

Greatest Common Factor of 17,5043 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,5043 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 5043

List of positive integer factors of 5043 that divides 5043 without a remainder.

1,3,41,123,1681,5043

Greatest Common Factor

We found the factors 17,5043 . The biggest common factor number is the GCF number.
So the greatest common factor 17,5043 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 813/17, 281/5043

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 813/17, 281/5043?

Answer: LCM of Numerators as per given numbers 813/17, 281/5043 is

LCM of Numerators i.e. for 813,281 is 228453

GCF of denominators i.e. for 17,5043 is 1.

Thus, LCM of Fractions is 228453.Finally, LCM of Fractions for 813/17, 281/5043 is 228453.