Least Common Multiple of 3741/165, 5839/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3741/165, 5839/130 quickly i.e. 21843699/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3741/165, 5839/130 is 21843699/5.

LCM(3741/165, 5839/130) = 21843699/5

LCM of 3741/165, 5839/130

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 3741/165,5839/130

Given numbers are 3741/165,5839/130

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 3741,5839

Least Common Multiple of Numerators i.e. LCM of 3741,5839 is 21843699.

GCF of Denominators means GCF of 165,130 as per the given fractions.

GCF of 165,130 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3741,5839

LCM of Fractions 3741/165,5839/130 is 21843699/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 21843699

Least Common Multiple of 3741,5839 with GCF Formula

Least Common Multiple of 3741,5839 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 3741,5839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3741,5839) = 1

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

GCF(3741,5839) x common factors =1 x 1 = 1

LCM(3741,5839) = ( 3741 × 5839 ) / 1

LCM(3741,5839) = 21843699 / 1

LCM(3741,5839) = 21843699


Lets's calculate GCF of 165,130

5 165, 130
33, 26

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21843699/5

Therefore the LCM of Fractions 3741/165,5839/130 is 21843699/5

Greatest Common Factor of 165,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,130 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 165,130 . The biggest common factor number is the GCF number.
So the greatest common factor 165,130 is 5.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3741/165, 5839/130

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 3741/165, 5839/130?

Answer: LCM of Numerators as per given numbers 3741/165, 5839/130 is

LCM of Numerators i.e. for 3741,5839 is 21843699

GCF of denominators i.e. for 165,130 is 5.

Thus, LCM of Fractions is 21843699/5.Finally, LCM of Fractions for 3741/165, 5839/130 is 21843699/5.