Least Common Multiple of 231/290, 4044/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/290, 4044/334 quickly i.e. 155694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/290, 4044/334 is 155694.

LCM(231/290, 4044/334) = 155694

LCM of 231/290, 4044/334

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 231/290,4044/334

Given numbers are 231/290,4044/334

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 231,4044

Least Common Multiple of Numerators i.e. LCM of 231,4044 is 311388.

GCF of Denominators means GCF of 290,334 as per the given fractions.

GCF of 290,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,4044

LCM of Fractions 231/290,4044/334 is 155694

3 231, 4044
77, 1348

∴ So the LCM of the given numbers is 3 x 77 x 1348 = 311388

Least Common Multiple of 231,4044 with GCF Formula

Least Common Multiple of 231,4044 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 231,4044 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,4044) = 3

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

GCF(231,4044) x common factors =3 x 1 = 3

LCM(231,4044) = ( 231 × 4044 ) / 3

LCM(231,4044) = 934164 / 3

LCM(231,4044) = 311388


Lets's calculate GCF of 290,334

2 290, 334
145, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311388/2

Therefore the LCM of Fractions 231/290,4044/334 is 155694

Greatest Common Factor of 290,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,334 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 290,334 . The biggest common factor number is the GCF number.
So the greatest common factor 290,334 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 231/290, 4044/334

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 231/290, 4044/334?

Answer: LCM of Numerators as per given numbers 231/290, 4044/334 is

LCM of Numerators i.e. for 231,4044 is 311388

GCF of denominators i.e. for 290,334 is 2.

Thus, LCM of Fractions is 155694.Finally, LCM of Fractions for 231/290, 4044/334 is 155694.