Least Common Multiple of 2503/300, 2302/3813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2503/300, 2302/3813 quickly i.e. 5761906/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2503/300, 2302/3813 is 5761906/3.

LCM(2503/300, 2302/3813) = 5761906/3

LCM of 2503/300, 2302/3813

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 2503/300,2302/3813

Given numbers are 2503/300,2302/3813

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 2503,2302

Least Common Multiple of Numerators i.e. LCM of 2503,2302 is 5761906.

GCF of Denominators means GCF of 300,3813 as per the given fractions.

GCF of 300,3813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2503,2302

LCM of Fractions 2503/300,2302/3813 is 5761906/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 5761906

Least Common Multiple of 2503,2302 with GCF Formula

Least Common Multiple of 2503,2302 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 2503,2302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2503,2302) = 1

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

GCF(2503,2302) x common factors =1 x 1 = 1

LCM(2503,2302) = ( 2503 × 2302 ) / 1

LCM(2503,2302) = 5761906 / 1

LCM(2503,2302) = 5761906


Lets's calculate GCF of 300,3813

3 300, 3813
100, 1271

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5761906/3

Therefore the LCM of Fractions 2503/300,2302/3813 is 5761906/3

Greatest Common Factor of 300,3813 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,3813 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 3813

List of positive integer factors of 3813 that divides 3813 without a remainder.

1,3,31,41,93,123,1271,3813

Greatest Common Factor

We found the factors 300,3813 . The biggest common factor number is the GCF number.
So the greatest common factor 300,3813 is 3.


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 2503/300, 2302/3813

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 2503/300, 2302/3813?

Answer: LCM of Numerators as per given numbers 2503/300, 2302/3813 is

LCM of Numerators i.e. for 2503,2302 is 5761906

GCF of denominators i.e. for 300,3813 is 3.

Thus, LCM of Fractions is 5761906/3.Finally, LCM of Fractions for 2503/300, 2302/3813 is 5761906/3.