Least Common Multiple of 82/324, 590/230, 492/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/324, 590/230, 492/339 quickly i.e. 145140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/324, 590/230, 492/339 is 145140.

LCM(82/324, 590/230, 492/339) = 145140

LCM of 82/324, 590/230, 492/339

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 82/324,590/230,492/339

Given numbers are 82/324,590/230,492/339

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 82,590,492

Least Common Multiple of Numerators i.e. LCM of 82,590,492 is 145140.

GCF of Denominators means GCF of 324,230,339 as per the given fractions.

GCF of 324,230,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,590,492

LCM of Fractions 82/324,590/230,492/339 is 145140

2 82, 590, 492
41 41, 295, 246
1, 295, 6

∴ So the LCM of the given numbers is 2 x 41 x 1 x 295 x 6 = 145140

Least Common Multiple of 82,590,492 with GCF Formula

Least Common Multiple of 82,590,492 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 82,590,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,590,492) = 2

common factors(in case of two or more numbers have common factors) = 82

GCF(82,590,492) x common factors =2 x 82 = 164

LCM(82,590,492) = ( 82 × 590 × 492 ) / 164

LCM(82,590,492) = 23802960 / 164

LCM(82,590,492) = 145140


Lets's calculate GCF of 324,230,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145140/1

Therefore the LCM of Fractions 82/324,590/230,492/339 is 145140

Greatest Common Factor of 324,230,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,230,339 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 324,230,339 . The biggest common factor number is the GCF number.
So the greatest common factor 324,230,339 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 82/324, 590/230, 492/339

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 82/324, 590/230, 492/339?

Answer: LCM of Numerators as per given numbers 82/324, 590/230, 492/339 is

LCM of Numerators i.e. for 82,590,492 is 145140

GCF of denominators i.e. for 324,230,339 is 1.

Thus, LCM of Fractions is 145140.Finally, LCM of Fractions for 82/324, 590/230, 492/339 is 145140.