Least Common Multiple of 564/45, 936/9024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/45, 936/9024 quickly i.e. 14664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/45, 936/9024 is 14664.

LCM(564/45, 936/9024) = 14664

LCM of 564/45, 936/9024

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 564/45,936/9024

Given numbers are 564/45,936/9024

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 564,936

Least Common Multiple of Numerators i.e. LCM of 564,936 is 43992.

GCF of Denominators means GCF of 45,9024 as per the given fractions.

GCF of 45,9024 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,936

LCM of Fractions 564/45,936/9024 is 14664

2 564, 936
2 282, 468
3 141, 234
47, 78

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 78 = 43992

Least Common Multiple of 564,936 with GCF Formula

Least Common Multiple of 564,936 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 564,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,936) = 12

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

GCF(564,936) x common factors =12 x 1 = 12

LCM(564,936) = ( 564 × 936 ) / 12

LCM(564,936) = 527904 / 12

LCM(564,936) = 43992


Lets's calculate GCF of 45,9024

3 45, 9024
15, 3008

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43992/3

Therefore the LCM of Fractions 564/45,936/9024 is 14664

Greatest Common Factor of 45,9024 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,9024 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Greatest Common Factor

We found the factors 45,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 45,9024 is 3.


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 564/45, 936/9024

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 564/45, 936/9024?

Answer: LCM of Numerators as per given numbers 564/45, 936/9024 is

LCM of Numerators i.e. for 564,936 is 43992

GCF of denominators i.e. for 45,9024 is 3.

Thus, LCM of Fractions is 14664.Finally, LCM of Fractions for 564/45, 936/9024 is 14664.