Least Common Multiple of 4560/868, 7103/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4560/868, 7103/864 quickly i.e. 8097420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4560/868, 7103/864 is 8097420.

LCM(4560/868, 7103/864) = 8097420

LCM of 4560/868, 7103/864

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 4560/868,7103/864

Given numbers are 4560/868,7103/864

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 4560,7103

Least Common Multiple of Numerators i.e. LCM of 4560,7103 is 32389680.

GCF of Denominators means GCF of 868,864 as per the given fractions.

GCF of 868,864 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4560,7103

LCM of Fractions 4560/868,7103/864 is 8097420

Given numbers has no common factors except 1. So, there LCM is their product i.e 32389680

Least Common Multiple of 4560,7103 with GCF Formula

Least Common Multiple of 4560,7103 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 4560,7103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4560,7103) = 1

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

GCF(4560,7103) x common factors =1 x 1 = 1

LCM(4560,7103) = ( 4560 × 7103 ) / 1

LCM(4560,7103) = 32389680 / 1

LCM(4560,7103) = 32389680


Lets's calculate GCF of 868,864

2 868, 864
2 434, 432
217, 216

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32389680/4

Therefore the LCM of Fractions 4560/868,7103/864 is 8097420

Greatest Common Factor of 868,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,864 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

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 868,864 . The biggest common factor number is the GCF number.
So the greatest common factor 868,864 is 4.


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 4560/868, 7103/864

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 4560/868, 7103/864?

Answer: LCM of Numerators as per given numbers 4560/868, 7103/864 is

LCM of Numerators i.e. for 4560,7103 is 32389680

GCF of denominators i.e. for 868,864 is 4.

Thus, LCM of Fractions is 8097420.Finally, LCM of Fractions for 4560/868, 7103/864 is 8097420.