Least Common Multiple of 804/517, 3384/6887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 804/517, 3384/6887 quickly i.e. 226728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/517, 3384/6887 is 226728.

LCM(804/517, 3384/6887) = 226728

LCM of 804/517, 3384/6887

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 804/517,3384/6887

Given numbers are 804/517,3384/6887

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 804,3384

Least Common Multiple of Numerators i.e. LCM of 804,3384 is 226728.

GCF of Denominators means GCF of 517,6887 as per the given fractions.

GCF of 517,6887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,3384

LCM of Fractions 804/517,3384/6887 is 226728

2 804, 3384
2 402, 1692
3 201, 846
67, 282

∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 282 = 226728

Least Common Multiple of 804,3384 with GCF Formula

Least Common Multiple of 804,3384 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 804,3384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,3384) = 12

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

GCF(804,3384) x common factors =12 x 1 = 12

LCM(804,3384) = ( 804 × 3384 ) / 12

LCM(804,3384) = 2720736 / 12

LCM(804,3384) = 226728


Lets's calculate GCF of 517,6887

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226728/1

Therefore the LCM of Fractions 804/517,3384/6887 is 226728

Greatest Common Factor of 517,6887 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,6887 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 6887

List of positive integer factors of 6887 that divides 6887 without a remainder.

1,71,97,6887

Greatest Common Factor

We found the factors 517,6887 . The biggest common factor number is the GCF number.
So the greatest common factor 517,6887 is 1.


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 804/517, 3384/6887

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 804/517, 3384/6887?

Answer: LCM of Numerators as per given numbers 804/517, 3384/6887 is

LCM of Numerators i.e. for 804,3384 is 226728

GCF of denominators i.e. for 517,6887 is 1.

Thus, LCM of Fractions is 226728.Finally, LCM of Fractions for 804/517, 3384/6887 is 226728.