Least Common Multiple of 491/165, 188/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/165, 188/872 quickly i.e. 92308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/165, 188/872 is 92308.

LCM(491/165, 188/872) = 92308

LCM of 491/165, 188/872

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 491/165,188/872

Given numbers are 491/165,188/872

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 491,188

Least Common Multiple of Numerators i.e. LCM of 491,188 is 92308.

GCF of Denominators means GCF of 165,872 as per the given fractions.

GCF of 165,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,188

LCM of Fractions 491/165,188/872 is 92308

Given numbers has no common factors except 1. So, there LCM is their product i.e 92308

Least Common Multiple of 491,188 with GCF Formula

Least Common Multiple of 491,188 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 491,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,188) = 1

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

GCF(491,188) x common factors =1 x 1 = 1

LCM(491,188) = ( 491 × 188 ) / 1

LCM(491,188) = 92308 / 1

LCM(491,188) = 92308


Lets's calculate GCF of 165,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92308/1

Therefore the LCM of Fractions 491/165,188/872 is 92308

Greatest Common Factor of 165,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,872 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 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 165,872 . The biggest common factor number is the GCF number.
So the greatest common factor 165,872 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 491/165, 188/872

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 491/165, 188/872?

Answer: LCM of Numerators as per given numbers 491/165, 188/872 is

LCM of Numerators i.e. for 491,188 is 92308

GCF of denominators i.e. for 165,872 is 1.

Thus, LCM of Fractions is 92308.Finally, LCM of Fractions for 491/165, 188/872 is 92308.