Least Common Multiple of 686/582, 243/375, 181/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/582, 243/375, 181/328 quickly i.e. 30172338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/582, 243/375, 181/328 is 30172338.

LCM(686/582, 243/375, 181/328) = 30172338

LCM of 686/582, 243/375, 181/328

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 686/582,243/375,181/328

Given numbers are 686/582,243/375,181/328

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 686,243,181

Least Common Multiple of Numerators i.e. LCM of 686,243,181 is 30172338.

GCF of Denominators means GCF of 582,375,328 as per the given fractions.

GCF of 582,375,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,243,181

LCM of Fractions 686/582,243/375,181/328 is 30172338

Given numbers has no common factors except 1. So, there LCM is their product i.e 30172338

Least Common Multiple of 686,243,181 with GCF Formula

Least Common Multiple of 686,243,181 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 686,243,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,243,181) = 1

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

GCF(686,243,181) x common factors =1 x 1 = 1

LCM(686,243,181) = ( 686 × 243 × 181 ) / 1

LCM(686,243,181) = 30172338 / 1

LCM(686,243,181) = 30172338


Lets's calculate GCF of 582,375,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30172338/1

Therefore the LCM of Fractions 686/582,243/375,181/328 is 30172338

Greatest Common Factor of 582,375,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,375,328 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 582,375,328 . The biggest common factor number is the GCF number.
So the greatest common factor 582,375,328 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 686/582, 243/375, 181/328

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 686/582, 243/375, 181/328?

Answer: LCM of Numerators as per given numbers 686/582, 243/375, 181/328 is

LCM of Numerators i.e. for 686,243,181 is 30172338

GCF of denominators i.e. for 582,375,328 is 1.

Thus, LCM of Fractions is 30172338.Finally, LCM of Fractions for 686/582, 243/375, 181/328 is 30172338.