Least Common Multiple of 384/938, 2327/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/938, 2327/586 quickly i.e. 446784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/938, 2327/586 is 446784.

LCM(384/938, 2327/586) = 446784

LCM of 384/938, 2327/586

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 384/938,2327/586

Given numbers are 384/938,2327/586

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 384,2327

Least Common Multiple of Numerators i.e. LCM of 384,2327 is 893568.

GCF of Denominators means GCF of 938,586 as per the given fractions.

GCF of 938,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,2327

LCM of Fractions 384/938,2327/586 is 446784

Given numbers has no common factors except 1. So, there LCM is their product i.e 893568

Least Common Multiple of 384,2327 with GCF Formula

Least Common Multiple of 384,2327 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 384,2327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,2327) = 1

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

GCF(384,2327) x common factors =1 x 1 = 1

LCM(384,2327) = ( 384 × 2327 ) / 1

LCM(384,2327) = 893568 / 1

LCM(384,2327) = 893568


Lets's calculate GCF of 938,586

2 938, 586
469, 293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 893568/2

Therefore the LCM of Fractions 384/938,2327/586 is 446784

Greatest Common Factor of 938,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,586 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 938,586 . The biggest common factor number is the GCF number.
So the greatest common factor 938,586 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 384/938, 2327/586

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 384/938, 2327/586?

Answer: LCM of Numerators as per given numbers 384/938, 2327/586 is

LCM of Numerators i.e. for 384,2327 is 893568

GCF of denominators i.e. for 938,586 is 2.

Thus, LCM of Fractions is 446784.Finally, LCM of Fractions for 384/938, 2327/586 is 446784.