Least Common Multiple of 2256/720, 5978/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2256/720, 5978/867 quickly i.e. 2247728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2256/720, 5978/867 is 2247728.

LCM(2256/720, 5978/867) = 2247728

LCM of 2256/720, 5978/867

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 2256/720,5978/867

Given numbers are 2256/720,5978/867

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 2256,5978

Least Common Multiple of Numerators i.e. LCM of 2256,5978 is 6743184.

GCF of Denominators means GCF of 720,867 as per the given fractions.

GCF of 720,867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2256,5978

LCM of Fractions 2256/720,5978/867 is 2247728

2 2256, 5978
1128, 2989

∴ So the LCM of the given numbers is 2 x 1128 x 2989 = 6743184

Least Common Multiple of 2256,5978 with GCF Formula

Least Common Multiple of 2256,5978 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 2256,5978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2256,5978) = 2

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

GCF(2256,5978) x common factors =2 x 1 = 2

LCM(2256,5978) = ( 2256 × 5978 ) / 2

LCM(2256,5978) = 13486368 / 2

LCM(2256,5978) = 6743184


Lets's calculate GCF of 720,867

3 720, 867
240, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6743184/3

Therefore the LCM of Fractions 2256/720,5978/867 is 2247728

Greatest Common Factor of 720,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,867 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 720,867 . The biggest common factor number is the GCF number.
So the greatest common factor 720,867 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 2256/720, 5978/867

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 2256/720, 5978/867?

Answer: LCM of Numerators as per given numbers 2256/720, 5978/867 is

LCM of Numerators i.e. for 2256,5978 is 6743184

GCF of denominators i.e. for 720,867 is 3.

Thus, LCM of Fractions is 2247728.Finally, LCM of Fractions for 2256/720, 5978/867 is 2247728.