Least Common Multiple of 25/864, 80/627, 855/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/864, 80/627, 855/564 quickly i.e. 22800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/864, 80/627, 855/564 is 22800.

LCM(25/864, 80/627, 855/564) = 22800

LCM of 25/864, 80/627, 855/564

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 25/864,80/627,855/564

Given numbers are 25/864,80/627,855/564

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 25,80,855

Least Common Multiple of Numerators i.e. LCM of 25,80,855 is 68400.

GCF of Denominators means GCF of 864,627,564 as per the given fractions.

GCF of 864,627,564 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,80,855

LCM of Fractions 25/864,80/627,855/564 is 22800

5 25, 80, 855
5, 16, 171

∴ So the LCM of the given numbers is 5 x 5 x 16 x 171 = 68400

Least Common Multiple of 25,80,855 with GCF Formula

Least Common Multiple of 25,80,855 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 25,80,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,80,855) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(25,80,855) x common factors =5 x 5 = 25

LCM(25,80,855) = ( 25 × 80 × 855 ) / 25

LCM(25,80,855) = 1710000 / 25

LCM(25,80,855) = 68400


Lets's calculate GCF of 864,627,564

3 864, 627, 564
288, 209, 188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68400/3

Therefore the LCM of Fractions 25/864,80/627,855/564 is 22800

Greatest Common Factor of 864,627,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,627,564 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 864,627,564 . The biggest common factor number is the GCF number.
So the greatest common factor 864,627,564 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 25/864, 80/627, 855/564

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 25/864, 80/627, 855/564?

Answer: LCM of Numerators as per given numbers 25/864, 80/627, 855/564 is

LCM of Numerators i.e. for 25,80,855 is 68400

GCF of denominators i.e. for 864,627,564 is 3.

Thus, LCM of Fractions is 22800.Finally, LCM of Fractions for 25/864, 80/627, 855/564 is 22800.