Least Common Multiple of 309/82, 4574/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/82, 4574/324 quickly i.e. 706683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/82, 4574/324 is 706683.

LCM(309/82, 4574/324) = 706683

LCM of 309/82, 4574/324

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 309/82,4574/324

Given numbers are 309/82,4574/324

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 309,4574

Least Common Multiple of Numerators i.e. LCM of 309,4574 is 1413366.

GCF of Denominators means GCF of 82,324 as per the given fractions.

GCF of 82,324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,4574

LCM of Fractions 309/82,4574/324 is 706683

Given numbers has no common factors except 1. So, there LCM is their product i.e 1413366

Least Common Multiple of 309,4574 with GCF Formula

Least Common Multiple of 309,4574 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 309,4574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,4574) = 1

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

GCF(309,4574) x common factors =1 x 1 = 1

LCM(309,4574) = ( 309 × 4574 ) / 1

LCM(309,4574) = 1413366 / 1

LCM(309,4574) = 1413366


Lets's calculate GCF of 82,324

2 82, 324
41, 162

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1413366/2

Therefore the LCM of Fractions 309/82,4574/324 is 706683

Greatest Common Factor of 82,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,324 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

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

Greatest Common Factor

We found the factors 82,324 . The biggest common factor number is the GCF number.
So the greatest common factor 82,324 is 2.


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 309/82, 4574/324

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 309/82, 4574/324?

Answer: LCM of Numerators as per given numbers 309/82, 4574/324 is

LCM of Numerators i.e. for 309,4574 is 1413366

GCF of denominators i.e. for 82,324 is 2.

Thus, LCM of Fractions is 706683.Finally, LCM of Fractions for 309/82, 4574/324 is 706683.