Least Common Multiple of 1000/288, 1440/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1000/288, 1440/864 quickly i.e. 125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1000/288, 1440/864 is 125.

LCM(1000/288, 1440/864) = 125

LCM of 1000/288, 1440/864

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 1000/288,1440/864

Given numbers are 1000/288,1440/864

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 1000,1440

Least Common Multiple of Numerators i.e. LCM of 1000,1440 is 36000.

GCF of Denominators means GCF of 288,864 as per the given fractions.

GCF of 288,864 is 288 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1000,1440

LCM of Fractions 1000/288,1440/864 is 125

2 1000, 1440
2 500, 720
2 250, 360
5 125, 180
25, 36

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 25 x 36 = 36000

Least Common Multiple of 1000,1440 with GCF Formula

Least Common Multiple of 1000,1440 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 1000,1440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1000,1440) = 40

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

GCF(1000,1440) x common factors =40 x 1 = 40

LCM(1000,1440) = ( 1000 × 1440 ) / 40

LCM(1000,1440) = 1440000 / 40

LCM(1000,1440) = 36000


Lets's calculate GCF of 288,864

2 288, 864
2 144, 432
2 72, 216
2 36, 108
2 18, 54
3 9, 27
3 3, 9
1, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36000/288

Therefore the LCM of Fractions 1000/288,1440/864 is 125

Greatest Common Factor of 288,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,864 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

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

Greatest Common Factor

We found the factors 288,864 . The biggest common factor number is the GCF number.
So the greatest common factor 288,864 is 288.


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 1000/288, 1440/864

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 1000/288, 1440/864?

Answer: LCM of Numerators as per given numbers 1000/288, 1440/864 is

LCM of Numerators i.e. for 1000,1440 is 36000

GCF of denominators i.e. for 288,864 is 288.

Thus, LCM of Fractions is 125.Finally, LCM of Fractions for 1000/288, 1440/864 is 125.