Least Common Multiple of 3144/18, 4731/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3144/18, 4731/813 quickly i.e. 1652696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3144/18, 4731/813 is 1652696.

LCM(3144/18, 4731/813) = 1652696

LCM of 3144/18, 4731/813

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 3144/18,4731/813

Given numbers are 3144/18,4731/813

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 3144,4731

Least Common Multiple of Numerators i.e. LCM of 3144,4731 is 4958088.

GCF of Denominators means GCF of 18,813 as per the given fractions.

GCF of 18,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3144,4731

LCM of Fractions 3144/18,4731/813 is 1652696

3 3144, 4731
1048, 1577

∴ So the LCM of the given numbers is 3 x 1048 x 1577 = 4958088

Least Common Multiple of 3144,4731 with GCF Formula

Least Common Multiple of 3144,4731 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 3144,4731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3144,4731) = 3

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

GCF(3144,4731) x common factors =3 x 1 = 3

LCM(3144,4731) = ( 3144 × 4731 ) / 3

LCM(3144,4731) = 14874264 / 3

LCM(3144,4731) = 4958088


Lets's calculate GCF of 18,813

3 18, 813
6, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4958088/3

Therefore the LCM of Fractions 3144/18,4731/813 is 1652696

Greatest Common Factor of 18,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,813 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 18,813 . The biggest common factor number is the GCF number.
So the greatest common factor 18,813 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 3144/18, 4731/813

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 3144/18, 4731/813?

Answer: LCM of Numerators as per given numbers 3144/18, 4731/813 is

LCM of Numerators i.e. for 3144,4731 is 4958088

GCF of denominators i.e. for 18,813 is 3.

Thus, LCM of Fractions is 1652696.Finally, LCM of Fractions for 3144/18, 4731/813 is 1652696.