Least Common Multiple of 82/378, 23/234, 186/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/378, 23/234, 186/327 quickly i.e. 58466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/378, 23/234, 186/327 is 58466.

LCM(82/378, 23/234, 186/327) = 58466

LCM of 82/378, 23/234, 186/327

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 82/378,23/234,186/327

Given numbers are 82/378,23/234,186/327

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 82,23,186

Least Common Multiple of Numerators i.e. LCM of 82,23,186 is 175398.

GCF of Denominators means GCF of 378,234,327 as per the given fractions.

GCF of 378,234,327 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,23,186

LCM of Fractions 82/378,23/234,186/327 is 58466

2 82, 23, 186
41, 23, 93

∴ So the LCM of the given numbers is 2 x 41 x 23 x 93 = 175398

Least Common Multiple of 82,23,186 with GCF Formula

Least Common Multiple of 82,23,186 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 82,23,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,23,186) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,23,186) x common factors =1 x 2 = 2

LCM(82,23,186) = ( 82 × 23 × 186 ) / 2

LCM(82,23,186) = 350796 / 2

LCM(82,23,186) = 175398


Lets's calculate GCF of 378,234,327

3 378, 234, 327
126, 78, 109

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175398/3

Therefore the LCM of Fractions 82/378,23/234,186/327 is 58466

Greatest Common Factor of 378,234,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,234,327 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 378,234,327 . The biggest common factor number is the GCF number.
So the greatest common factor 378,234,327 is 3.


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 82/378, 23/234, 186/327

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 82/378, 23/234, 186/327?

Answer: LCM of Numerators as per given numbers 82/378, 23/234, 186/327 is

LCM of Numerators i.e. for 82,23,186 is 175398

GCF of denominators i.e. for 378,234,327 is 3.

Thus, LCM of Fractions is 58466.Finally, LCM of Fractions for 82/378, 23/234, 186/327 is 58466.