Least Common Multiple of 531/500, 1677/8103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/500, 1677/8103 quickly i.e. 296829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/500, 1677/8103 is 296829.

LCM(531/500, 1677/8103) = 296829

LCM of 531/500, 1677/8103

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 531/500,1677/8103

Given numbers are 531/500,1677/8103

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 531,1677

Least Common Multiple of Numerators i.e. LCM of 531,1677 is 296829.

GCF of Denominators means GCF of 500,8103 as per the given fractions.

GCF of 500,8103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,1677

LCM of Fractions 531/500,1677/8103 is 296829

3 531, 1677
177, 559

∴ So the LCM of the given numbers is 3 x 177 x 559 = 296829

Least Common Multiple of 531,1677 with GCF Formula

Least Common Multiple of 531,1677 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 531,1677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,1677) = 3

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

GCF(531,1677) x common factors =3 x 1 = 3

LCM(531,1677) = ( 531 × 1677 ) / 3

LCM(531,1677) = 890487 / 3

LCM(531,1677) = 296829


Lets's calculate GCF of 500,8103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296829/1

Therefore the LCM of Fractions 531/500,1677/8103 is 296829

Greatest Common Factor of 500,8103 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,8103 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 8103

List of positive integer factors of 8103 that divides 8103 without a remainder.

1,3,37,73,111,219,2701,8103

Greatest Common Factor

We found the factors 500,8103 . The biggest common factor number is the GCF number.
So the greatest common factor 500,8103 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 531/500, 1677/8103

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 531/500, 1677/8103?

Answer: LCM of Numerators as per given numbers 531/500, 1677/8103 is

LCM of Numerators i.e. for 531,1677 is 296829

GCF of denominators i.e. for 500,8103 is 1.

Thus, LCM of Fractions is 296829.Finally, LCM of Fractions for 531/500, 1677/8103 is 296829.