Least Common Multiple of 72/80, 75/43, 45/99, 56/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/80, 75/43, 45/99, 56/903 quickly i.e. 12600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/80, 75/43, 45/99, 56/903 is 12600.

LCM(72/80, 75/43, 45/99, 56/903) = 12600

LCM of 72/80, 75/43, 45/99, 56/903

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 72/80,75/43,45/99,56/903

Given numbers are 72/80,75/43,45/99,56/903

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 72,75,45,56

Least Common Multiple of Numerators i.e. LCM of 72,75,45,56 is 12600.

GCF of Denominators means GCF of 80,43,99,903 as per the given fractions.

GCF of 80,43,99,903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,75,45,56

LCM of Fractions 72/80,75/43,45/99,56/903 is 12600

2 72, 75, 45, 56
2 36, 75, 45, 28
2 18, 75, 45, 14
3 9, 75, 45, 7
3 3, 25, 15, 7
5 1, 25, 5, 7
1, 1, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 1 x 5 x 7 = 12600

Least Common Multiple of 72,75,45,56 with GCF Formula

Least Common Multiple of 72,75,45,56 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 72,75,45,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,75,45,56) = 1

common factors(in case of two or more numbers have common factors) = 1080

GCF(72,75,45,56) x common factors =1 x 1080 = 1080

LCM(72,75,45,56) = ( 72 × 75 × 45 × 56 ) / 1080

LCM(72,75,45,56) = 13608000 / 1080

LCM(72,75,45,56) = 12600


Lets's calculate GCF of 80,43,99,903

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12600/1

Therefore the LCM of Fractions 72/80,75/43,45/99,56/903 is 12600

Greatest Common Factor of 80,43,99,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,43,99,903 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 80,43,99,903 . The biggest common factor number is the GCF number.
So the greatest common factor 80,43,99,903 is 1.


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 72/80, 75/43, 45/99, 56/903

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 72/80, 75/43, 45/99, 56/903?

Answer: LCM of Numerators as per given numbers 72/80, 75/43, 45/99, 56/903 is

LCM of Numerators i.e. for 72,75,45,56 is 12600

GCF of denominators i.e. for 80,43,99,903 is 1.

Thus, LCM of Fractions is 12600.Finally, LCM of Fractions for 72/80, 75/43, 45/99, 56/903 is 12600.