Least Common Multiple of 83/329, 363/311, 566/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/329, 363/311, 566/439 quickly i.e. 17053014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/329, 363/311, 566/439 is 17053014.

LCM(83/329, 363/311, 566/439) = 17053014

LCM of 83/329, 363/311, 566/439

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 83/329,363/311,566/439

Given numbers are 83/329,363/311,566/439

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 83,363,566

Least Common Multiple of Numerators i.e. LCM of 83,363,566 is 17053014.

GCF of Denominators means GCF of 329,311,439 as per the given fractions.

GCF of 329,311,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,363,566

LCM of Fractions 83/329,363/311,566/439 is 17053014

Given numbers has no common factors except 1. So, there LCM is their product i.e 17053014

Least Common Multiple of 83,363,566 with GCF Formula

Least Common Multiple of 83,363,566 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 83,363,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,363,566) = 1

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

GCF(83,363,566) x common factors =1 x 1 = 1

LCM(83,363,566) = ( 83 × 363 × 566 ) / 1

LCM(83,363,566) = 17053014 / 1

LCM(83,363,566) = 17053014


Lets's calculate GCF of 329,311,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17053014/1

Therefore the LCM of Fractions 83/329,363/311,566/439 is 17053014

Greatest Common Factor of 329,311,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,311,439 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 311

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

1,311

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 329,311,439 . The biggest common factor number is the GCF number.
So the greatest common factor 329,311,439 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 83/329, 363/311, 566/439

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 83/329, 363/311, 566/439?

Answer: LCM of Numerators as per given numbers 83/329, 363/311, 566/439 is

LCM of Numerators i.e. for 83,363,566 is 17053014

GCF of denominators i.e. for 329,311,439 is 1.

Thus, LCM of Fractions is 17053014.Finally, LCM of Fractions for 83/329, 363/311, 566/439 is 17053014.