Least Common Multiple of 585/867, 4884/6584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/867, 4884/6584 quickly i.e. 952380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/867, 4884/6584 is 952380.

LCM(585/867, 4884/6584) = 952380

LCM of 585/867, 4884/6584

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 585/867,4884/6584

Given numbers are 585/867,4884/6584

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 585,4884

Least Common Multiple of Numerators i.e. LCM of 585,4884 is 952380.

GCF of Denominators means GCF of 867,6584 as per the given fractions.

GCF of 867,6584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,4884

LCM of Fractions 585/867,4884/6584 is 952380

3 585, 4884
195, 1628

∴ So the LCM of the given numbers is 3 x 195 x 1628 = 952380

Least Common Multiple of 585,4884 with GCF Formula

Least Common Multiple of 585,4884 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 585,4884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,4884) = 3

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

GCF(585,4884) x common factors =3 x 1 = 3

LCM(585,4884) = ( 585 × 4884 ) / 3

LCM(585,4884) = 2857140 / 3

LCM(585,4884) = 952380


Lets's calculate GCF of 867,6584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 952380/1

Therefore the LCM of Fractions 585/867,4884/6584 is 952380

Greatest Common Factor of 867,6584 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,6584 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 6584

List of positive integer factors of 6584 that divides 6584 without a remainder.

1,2,4,8,823,1646,3292,6584

Greatest Common Factor

We found the factors 867,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 867,6584 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 585/867, 4884/6584

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 585/867, 4884/6584?

Answer: LCM of Numerators as per given numbers 585/867, 4884/6584 is

LCM of Numerators i.e. for 585,4884 is 952380

GCF of denominators i.e. for 867,6584 is 1.

Thus, LCM of Fractions is 952380.Finally, LCM of Fractions for 585/867, 4884/6584 is 952380.