Least Common Multiple of 311/596, 233/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/596, 233/605 quickly i.e. 72463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/596, 233/605 is 72463.

LCM(311/596, 233/605) = 72463

LCM of 311/596, 233/605

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 311/596,233/605

Given numbers are 311/596,233/605

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 311,233

Least Common Multiple of Numerators i.e. LCM of 311,233 is 72463.

GCF of Denominators means GCF of 596,605 as per the given fractions.

GCF of 596,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,233

LCM of Fractions 311/596,233/605 is 72463

Given numbers has no common factors except 1. So, there LCM is their product i.e 72463

Least Common Multiple of 311,233 with GCF Formula

Least Common Multiple of 311,233 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 311,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,233) = 1

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

GCF(311,233) x common factors =1 x 1 = 1

LCM(311,233) = ( 311 × 233 ) / 1

LCM(311,233) = 72463 / 1

LCM(311,233) = 72463


Lets's calculate GCF of 596,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72463/1

Therefore the LCM of Fractions 311/596,233/605 is 72463

Greatest Common Factor of 596,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,605 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 596,605 . The biggest common factor number is the GCF number.
So the greatest common factor 596,605 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 311/596, 233/605

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 311/596, 233/605?

Answer: LCM of Numerators as per given numbers 311/596, 233/605 is

LCM of Numerators i.e. for 311,233 is 72463

GCF of denominators i.e. for 596,605 is 1.

Thus, LCM of Fractions is 72463.Finally, LCM of Fractions for 311/596, 233/605 is 72463.