Least Common Multiple of 564/25, 489/9040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/25, 489/9040 quickly i.e. 91932/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/25, 489/9040 is 91932/5.

LCM(564/25, 489/9040) = 91932/5

LCM of 564/25, 489/9040

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 564/25,489/9040

Given numbers are 564/25,489/9040

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 564,489

Least Common Multiple of Numerators i.e. LCM of 564,489 is 91932.

GCF of Denominators means GCF of 25,9040 as per the given fractions.

GCF of 25,9040 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,489

LCM of Fractions 564/25,489/9040 is 91932/5

3 564, 489
188, 163

∴ So the LCM of the given numbers is 3 x 188 x 163 = 91932

Least Common Multiple of 564,489 with GCF Formula

Least Common Multiple of 564,489 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 564,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,489) = 3

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

GCF(564,489) x common factors =3 x 1 = 3

LCM(564,489) = ( 564 × 489 ) / 3

LCM(564,489) = 275796 / 3

LCM(564,489) = 91932


Lets's calculate GCF of 25,9040

5 25, 9040
5, 1808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91932/5

Therefore the LCM of Fractions 564/25,489/9040 is 91932/5

Greatest Common Factor of 25,9040 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,9040 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 9040

List of positive integer factors of 9040 that divides 9040 without a remainder.

1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040

Greatest Common Factor

We found the factors 25,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 25,9040 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 564/25, 489/9040

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 564/25, 489/9040?

Answer: LCM of Numerators as per given numbers 564/25, 489/9040 is

LCM of Numerators i.e. for 564,489 is 91932

GCF of denominators i.e. for 25,9040 is 5.

Thus, LCM of Fractions is 91932/5.Finally, LCM of Fractions for 564/25, 489/9040 is 91932/5.