Least Common Multiple of 8369/568, 9056/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8369/568, 9056/649 quickly i.e. 75789664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8369/568, 9056/649 is 75789664.

LCM(8369/568, 9056/649) = 75789664

LCM of 8369/568, 9056/649

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 8369/568,9056/649

Given numbers are 8369/568,9056/649

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 8369,9056

Least Common Multiple of Numerators i.e. LCM of 8369,9056 is 75789664.

GCF of Denominators means GCF of 568,649 as per the given fractions.

GCF of 568,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8369,9056

LCM of Fractions 8369/568,9056/649 is 75789664

Given numbers has no common factors except 1. So, there LCM is their product i.e 75789664

Least Common Multiple of 8369,9056 with GCF Formula

Least Common Multiple of 8369,9056 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 8369,9056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8369,9056) = 1

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

GCF(8369,9056) x common factors =1 x 1 = 1

LCM(8369,9056) = ( 8369 × 9056 ) / 1

LCM(8369,9056) = 75789664 / 1

LCM(8369,9056) = 75789664


Lets's calculate GCF of 568,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75789664/1

Therefore the LCM of Fractions 8369/568,9056/649 is 75789664

Greatest Common Factor of 568,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,649 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 568,649 . The biggest common factor number is the GCF number.
So the greatest common factor 568,649 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 8369/568, 9056/649

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 8369/568, 9056/649?

Answer: LCM of Numerators as per given numbers 8369/568, 9056/649 is

LCM of Numerators i.e. for 8369,9056 is 75789664

GCF of denominators i.e. for 568,649 is 1.

Thus, LCM of Fractions is 75789664.Finally, LCM of Fractions for 8369/568, 9056/649 is 75789664.