Least Common Multiple of 2309/441, 3738/5187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2309/441, 3738/5187 quickly i.e. 411002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2309/441, 3738/5187 is 411002.

LCM(2309/441, 3738/5187) = 411002

LCM of 2309/441, 3738/5187

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 2309/441,3738/5187

Given numbers are 2309/441,3738/5187

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 2309,3738

Least Common Multiple of Numerators i.e. LCM of 2309,3738 is 8631042.

GCF of Denominators means GCF of 441,5187 as per the given fractions.

GCF of 441,5187 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2309,3738

LCM of Fractions 2309/441,3738/5187 is 411002

Given numbers has no common factors except 1. So, there LCM is their product i.e 8631042

Least Common Multiple of 2309,3738 with GCF Formula

Least Common Multiple of 2309,3738 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 2309,3738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2309,3738) = 1

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

GCF(2309,3738) x common factors =1 x 1 = 1

LCM(2309,3738) = ( 2309 × 3738 ) / 1

LCM(2309,3738) = 8631042 / 1

LCM(2309,3738) = 8631042


Lets's calculate GCF of 441,5187

3 441, 5187
7 147, 1729
21, 247

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8631042/21

Therefore the LCM of Fractions 2309/441,3738/5187 is 411002

Greatest Common Factor of 441,5187 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,5187 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 5187

List of positive integer factors of 5187 that divides 5187 without a remainder.

1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187

Greatest Common Factor

We found the factors 441,5187 . The biggest common factor number is the GCF number.
So the greatest common factor 441,5187 is 21.


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 2309/441, 3738/5187

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 2309/441, 3738/5187?

Answer: LCM of Numerators as per given numbers 2309/441, 3738/5187 is

LCM of Numerators i.e. for 2309,3738 is 8631042

GCF of denominators i.e. for 441,5187 is 21.

Thus, LCM of Fractions is 411002.Finally, LCM of Fractions for 2309/441, 3738/5187 is 411002.