Least Common Multiple of 991/291, 523/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 991/291, 523/179 quickly i.e. 518293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 991/291, 523/179 is 518293.

LCM(991/291, 523/179) = 518293

LCM of 991/291, 523/179

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 991/291,523/179

Given numbers are 991/291,523/179

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 991,523

Least Common Multiple of Numerators i.e. LCM of 991,523 is 518293.

GCF of Denominators means GCF of 291,179 as per the given fractions.

GCF of 291,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 991,523

LCM of Fractions 991/291,523/179 is 518293

Given numbers has no common factors except 1. So, there LCM is their product i.e 518293

Least Common Multiple of 991,523 with GCF Formula

Least Common Multiple of 991,523 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 991,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,523) = 1

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

GCF(991,523) x common factors =1 x 1 = 1

LCM(991,523) = ( 991 × 523 ) / 1

LCM(991,523) = 518293 / 1

LCM(991,523) = 518293


Lets's calculate GCF of 291,179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518293/1

Therefore the LCM of Fractions 991/291,523/179 is 518293

Greatest Common Factor of 291,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,179 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 291,179 . The biggest common factor number is the GCF number.
So the greatest common factor 291,179 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 991/291, 523/179

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 991/291, 523/179?

Answer: LCM of Numerators as per given numbers 991/291, 523/179 is

LCM of Numerators i.e. for 991,523 is 518293

GCF of denominators i.e. for 291,179 is 1.

Thus, LCM of Fractions is 518293.Finally, LCM of Fractions for 991/291, 523/179 is 518293.