Least Common Multiple of 67/593, 581/114, 764/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/593, 581/114, 764/311 quickly i.e. 29740228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/593, 581/114, 764/311 is 29740228.

LCM(67/593, 581/114, 764/311) = 29740228

LCM of 67/593, 581/114, 764/311

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 67/593,581/114,764/311

Given numbers are 67/593,581/114,764/311

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 67,581,764

Least Common Multiple of Numerators i.e. LCM of 67,581,764 is 29740228.

GCF of Denominators means GCF of 593,114,311 as per the given fractions.

GCF of 593,114,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,581,764

LCM of Fractions 67/593,581/114,764/311 is 29740228

Given numbers has no common factors except 1. So, there LCM is their product i.e 29740228

Least Common Multiple of 67,581,764 with GCF Formula

Least Common Multiple of 67,581,764 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 67,581,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,581,764) = 1

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

GCF(67,581,764) x common factors =1 x 1 = 1

LCM(67,581,764) = ( 67 × 581 × 764 ) / 1

LCM(67,581,764) = 29740228 / 1

LCM(67,581,764) = 29740228


Lets's calculate GCF of 593,114,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29740228/1

Therefore the LCM of Fractions 67/593,581/114,764/311 is 29740228

Greatest Common Factor of 593,114,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,114,311 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 593,114,311 . The biggest common factor number is the GCF number.
So the greatest common factor 593,114,311 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 67/593, 581/114, 764/311

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 67/593, 581/114, 764/311?

Answer: LCM of Numerators as per given numbers 67/593, 581/114, 764/311 is

LCM of Numerators i.e. for 67,581,764 is 29740228

GCF of denominators i.e. for 593,114,311 is 1.

Thus, LCM of Fractions is 29740228.Finally, LCM of Fractions for 67/593, 581/114, 764/311 is 29740228.