Least Common Multiple of 8700/655, 6384/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8700/655, 6384/585 quickly i.e. 925680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8700/655, 6384/585 is 925680.

LCM(8700/655, 6384/585) = 925680

LCM of 8700/655, 6384/585

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 8700/655,6384/585

Given numbers are 8700/655,6384/585

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 8700,6384

Least Common Multiple of Numerators i.e. LCM of 8700,6384 is 4628400.

GCF of Denominators means GCF of 655,585 as per the given fractions.

GCF of 655,585 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8700,6384

LCM of Fractions 8700/655,6384/585 is 925680

2 8700, 6384
2 4350, 3192
3 2175, 1596
725, 532

∴ So the LCM of the given numbers is 2 x 2 x 3 x 725 x 532 = 4628400

Least Common Multiple of 8700,6384 with GCF Formula

Least Common Multiple of 8700,6384 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 8700,6384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8700,6384) = 12

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

GCF(8700,6384) x common factors =12 x 1 = 12

LCM(8700,6384) = ( 8700 × 6384 ) / 12

LCM(8700,6384) = 55540800 / 12

LCM(8700,6384) = 4628400


Lets's calculate GCF of 655,585

5 655, 585
131, 117

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4628400/5

Therefore the LCM of Fractions 8700/655,6384/585 is 925680

Greatest Common Factor of 655,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,585 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 655,585 . The biggest common factor number is the GCF number.
So the greatest common factor 655,585 is 5.


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 8700/655, 6384/585

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 8700/655, 6384/585?

Answer: LCM of Numerators as per given numbers 8700/655, 6384/585 is

LCM of Numerators i.e. for 8700,6384 is 4628400

GCF of denominators i.e. for 655,585 is 5.

Thus, LCM of Fractions is 925680.Finally, LCM of Fractions for 8700/655, 6384/585 is 925680.