Least Common Multiple of 687/819, 7311/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/819, 7311/663 quickly i.e. 1674219/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/819, 7311/663 is 1674219/39.

LCM(687/819, 7311/663) = 1674219/39

LCM of 687/819, 7311/663

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 687/819,7311/663

Given numbers are 687/819,7311/663

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 687,7311

Least Common Multiple of Numerators i.e. LCM of 687,7311 is 1674219.

GCF of Denominators means GCF of 819,663 as per the given fractions.

GCF of 819,663 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,7311

LCM of Fractions 687/819,7311/663 is 1674219/39

3 687, 7311
229, 2437

∴ So the LCM of the given numbers is 3 x 229 x 2437 = 1674219

Least Common Multiple of 687,7311 with GCF Formula

Least Common Multiple of 687,7311 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 687,7311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,7311) = 3

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

GCF(687,7311) x common factors =3 x 1 = 3

LCM(687,7311) = ( 687 × 7311 ) / 3

LCM(687,7311) = 5022657 / 3

LCM(687,7311) = 1674219


Lets's calculate GCF of 819,663

3 819, 663
13 273, 221
21, 17

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1674219/39

Therefore the LCM of Fractions 687/819,7311/663 is 1674219/39

Greatest Common Factor of 819,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,663 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 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 819,663 . The biggest common factor number is the GCF number.
So the greatest common factor 819,663 is 39.


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 687/819, 7311/663

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 687/819, 7311/663?

Answer: LCM of Numerators as per given numbers 687/819, 7311/663 is

LCM of Numerators i.e. for 687,7311 is 1674219

GCF of denominators i.e. for 819,663 is 39.

Thus, LCM of Fractions is 1674219/39.Finally, LCM of Fractions for 687/819, 7311/663 is 1674219/39.