Least Common Multiple of 6684/687, 4468/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6684/687, 4468/801 quickly i.e. 2488676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6684/687, 4468/801 is 2488676.

LCM(6684/687, 4468/801) = 2488676

LCM of 6684/687, 4468/801

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 6684/687,4468/801

Given numbers are 6684/687,4468/801

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 6684,4468

Least Common Multiple of Numerators i.e. LCM of 6684,4468 is 7466028.

GCF of Denominators means GCF of 687,801 as per the given fractions.

GCF of 687,801 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6684,4468

LCM of Fractions 6684/687,4468/801 is 2488676

2 6684, 4468
2 3342, 2234
1671, 1117

∴ So the LCM of the given numbers is 2 x 2 x 1671 x 1117 = 7466028

Least Common Multiple of 6684,4468 with GCF Formula

Least Common Multiple of 6684,4468 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 6684,4468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6684,4468) = 4

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

GCF(6684,4468) x common factors =4 x 1 = 4

LCM(6684,4468) = ( 6684 × 4468 ) / 4

LCM(6684,4468) = 29864112 / 4

LCM(6684,4468) = 7466028


Lets's calculate GCF of 687,801

3 687, 801
229, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7466028/3

Therefore the LCM of Fractions 6684/687,4468/801 is 2488676

Greatest Common Factor of 687,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,801 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 687,801 . The biggest common factor number is the GCF number.
So the greatest common factor 687,801 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 6684/687, 4468/801

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 6684/687, 4468/801?

Answer: LCM of Numerators as per given numbers 6684/687, 4468/801 is

LCM of Numerators i.e. for 6684,4468 is 7466028

GCF of denominators i.e. for 687,801 is 3.

Thus, LCM of Fractions is 2488676.Finally, LCM of Fractions for 6684/687, 4468/801 is 2488676.