Least Common Multiple of 744/819, 1983/8799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/819, 1983/8799 quickly i.e. 491784/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/819, 1983/8799 is 491784/21.

LCM(744/819, 1983/8799) = 491784/21

LCM of 744/819, 1983/8799

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 744/819,1983/8799

Given numbers are 744/819,1983/8799

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 744,1983

Least Common Multiple of Numerators i.e. LCM of 744,1983 is 491784.

GCF of Denominators means GCF of 819,8799 as per the given fractions.

GCF of 819,8799 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,1983

LCM of Fractions 744/819,1983/8799 is 491784/21

3 744, 1983
248, 661

∴ So the LCM of the given numbers is 3 x 248 x 661 = 491784

Least Common Multiple of 744,1983 with GCF Formula

Least Common Multiple of 744,1983 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 744,1983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,1983) = 3

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

GCF(744,1983) x common factors =3 x 1 = 3

LCM(744,1983) = ( 744 × 1983 ) / 3

LCM(744,1983) = 1475352 / 3

LCM(744,1983) = 491784


Lets's calculate GCF of 819,8799

3 819, 8799
7 273, 2933
39, 419

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491784/21

Therefore the LCM of Fractions 744/819,1983/8799 is 491784/21

Greatest Common Factor of 819,8799 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,8799 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 8799

List of positive integer factors of 8799 that divides 8799 without a remainder.

1,3,7,21,419,1257,2933,8799

Greatest Common Factor

We found the factors 819,8799 . The biggest common factor number is the GCF number.
So the greatest common factor 819,8799 is 21.


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 744/819, 1983/8799

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 744/819, 1983/8799?

Answer: LCM of Numerators as per given numbers 744/819, 1983/8799 is

LCM of Numerators i.e. for 744,1983 is 491784

GCF of denominators i.e. for 819,8799 is 21.

Thus, LCM of Fractions is 491784/21.Finally, LCM of Fractions for 744/819, 1983/8799 is 491784/21.