Least Common Multiple of 591/933, 213/296, 133/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/933, 213/296, 133/371 quickly i.e. 5580813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/933, 213/296, 133/371 is 5580813.

LCM(591/933, 213/296, 133/371) = 5580813

LCM of 591/933, 213/296, 133/371

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 591/933,213/296,133/371

Given numbers are 591/933,213/296,133/371

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 591,213,133

Least Common Multiple of Numerators i.e. LCM of 591,213,133 is 5580813.

GCF of Denominators means GCF of 933,296,371 as per the given fractions.

GCF of 933,296,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,213,133

LCM of Fractions 591/933,213/296,133/371 is 5580813

3 591, 213, 133
197, 71, 133

∴ So the LCM of the given numbers is 3 x 197 x 71 x 133 = 5580813

Least Common Multiple of 591,213,133 with GCF Formula

Least Common Multiple of 591,213,133 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 591,213,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,213,133) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(591,213,133) x common factors =1 x 3 = 3

LCM(591,213,133) = ( 591 × 213 × 133 ) / 3

LCM(591,213,133) = 16742439 / 3

LCM(591,213,133) = 5580813


Lets's calculate GCF of 933,296,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5580813/1

Therefore the LCM of Fractions 591/933,213/296,133/371 is 5580813

Greatest Common Factor of 933,296,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,296,371 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 933,296,371 . The biggest common factor number is the GCF number.
So the greatest common factor 933,296,371 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 591/933, 213/296, 133/371

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 591/933, 213/296, 133/371?

Answer: LCM of Numerators as per given numbers 591/933, 213/296, 133/371 is

LCM of Numerators i.e. for 591,213,133 is 5580813

GCF of denominators i.e. for 933,296,371 is 1.

Thus, LCM of Fractions is 5580813.Finally, LCM of Fractions for 591/933, 213/296, 133/371 is 5580813.