Least Common Multiple of 582/90, 376/39, 338/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 582/90, 376/39, 338/849 quickly i.e. 6163768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 582/90, 376/39, 338/849 is 6163768.

LCM(582/90, 376/39, 338/849) = 6163768

LCM of 582/90, 376/39, 338/849

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 582/90,376/39,338/849

Given numbers are 582/90,376/39,338/849

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 582,376,338

Least Common Multiple of Numerators i.e. LCM of 582,376,338 is 18491304.

GCF of Denominators means GCF of 90,39,849 as per the given fractions.

GCF of 90,39,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 582,376,338

LCM of Fractions 582/90,376/39,338/849 is 6163768

2 582, 376, 338
291, 188, 169

∴ So the LCM of the given numbers is 2 x 291 x 188 x 169 = 18491304

Least Common Multiple of 582,376,338 with GCF Formula

Least Common Multiple of 582,376,338 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 582,376,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,376,338) = 2

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

GCF(582,376,338) x common factors =2 x 2 = 4

LCM(582,376,338) = ( 582 × 376 × 338 ) / 4

LCM(582,376,338) = 73965216 / 4

LCM(582,376,338) = 18491304


Lets's calculate GCF of 90,39,849

3 90, 39, 849
30, 13, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18491304/3

Therefore the LCM of Fractions 582/90,376/39,338/849 is 6163768

Greatest Common Factor of 90,39,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,39,849 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 90,39,849 . The biggest common factor number is the GCF number.
So the greatest common factor 90,39,849 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 582/90, 376/39, 338/849

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 582/90, 376/39, 338/849?

Answer: LCM of Numerators as per given numbers 582/90, 376/39, 338/849 is

LCM of Numerators i.e. for 582,376,338 is 18491304

GCF of denominators i.e. for 90,39,849 is 3.

Thus, LCM of Fractions is 6163768.Finally, LCM of Fractions for 582/90, 376/39, 338/849 is 6163768.