Least Common Multiple of 8604/585, 9424/6535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8604/585, 9424/6535 quickly i.e. 20271024/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8604/585, 9424/6535 is 20271024/5.

LCM(8604/585, 9424/6535) = 20271024/5

LCM of 8604/585, 9424/6535

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 8604/585,9424/6535

Given numbers are 8604/585,9424/6535

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 8604,9424

Least Common Multiple of Numerators i.e. LCM of 8604,9424 is 20271024.

GCF of Denominators means GCF of 585,6535 as per the given fractions.

GCF of 585,6535 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8604,9424

LCM of Fractions 8604/585,9424/6535 is 20271024/5

2 8604, 9424
2 4302, 4712
2151, 2356

∴ So the LCM of the given numbers is 2 x 2 x 2151 x 2356 = 20271024

Least Common Multiple of 8604,9424 with GCF Formula

Least Common Multiple of 8604,9424 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 8604,9424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8604,9424) = 4

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

GCF(8604,9424) x common factors =4 x 1 = 4

LCM(8604,9424) = ( 8604 × 9424 ) / 4

LCM(8604,9424) = 81084096 / 4

LCM(8604,9424) = 20271024


Lets's calculate GCF of 585,6535

5 585, 6535
117, 1307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20271024/5

Therefore the LCM of Fractions 8604/585,9424/6535 is 20271024/5

Greatest Common Factor of 585,6535 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,6535 By Matching Biggest Common Factor Method

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

Factors of 6535

List of positive integer factors of 6535 that divides 6535 without a remainder.

1,5,1307,6535

Greatest Common Factor

We found the factors 585,6535 . The biggest common factor number is the GCF number.
So the greatest common factor 585,6535 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 8604/585, 9424/6535

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 8604/585, 9424/6535?

Answer: LCM of Numerators as per given numbers 8604/585, 9424/6535 is

LCM of Numerators i.e. for 8604,9424 is 20271024

GCF of denominators i.e. for 585,6535 is 5.

Thus, LCM of Fractions is 20271024/5.Finally, LCM of Fractions for 8604/585, 9424/6535 is 20271024/5.