Least Common Multiple of 5791/165, 6823/1669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5791/165, 6823/1669 quickly i.e. 39511993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5791/165, 6823/1669 is 39511993.

LCM(5791/165, 6823/1669) = 39511993

LCM of 5791/165, 6823/1669

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 5791/165,6823/1669

Given numbers are 5791/165,6823/1669

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 5791,6823

Least Common Multiple of Numerators i.e. LCM of 5791,6823 is 39511993.

GCF of Denominators means GCF of 165,1669 as per the given fractions.

GCF of 165,1669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5791,6823

LCM of Fractions 5791/165,6823/1669 is 39511993

Given numbers has no common factors except 1. So, there LCM is their product i.e 39511993

Least Common Multiple of 5791,6823 with GCF Formula

Least Common Multiple of 5791,6823 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 5791,6823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5791,6823) = 1

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

GCF(5791,6823) x common factors =1 x 1 = 1

LCM(5791,6823) = ( 5791 × 6823 ) / 1

LCM(5791,6823) = 39511993 / 1

LCM(5791,6823) = 39511993


Lets's calculate GCF of 165,1669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39511993/1

Therefore the LCM of Fractions 5791/165,6823/1669 is 39511993

Greatest Common Factor of 165,1669 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,1669 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 1669

List of positive integer factors of 1669 that divides 1669 without a remainder.

1,1669

Greatest Common Factor

We found the factors 165,1669 . The biggest common factor number is the GCF number.
So the greatest common factor 165,1669 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 5791/165, 6823/1669

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 5791/165, 6823/1669?

Answer: LCM of Numerators as per given numbers 5791/165, 6823/1669 is

LCM of Numerators i.e. for 5791,6823 is 39511993

GCF of denominators i.e. for 165,1669 is 1.

Thus, LCM of Fractions is 39511993.Finally, LCM of Fractions for 5791/165, 6823/1669 is 39511993.