Least Common Multiple of 4468/20, 5790/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4468/20, 5790/845 quickly i.e. 2586972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4468/20, 5790/845 is 2586972.

LCM(4468/20, 5790/845) = 2586972

LCM of 4468/20, 5790/845

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 4468/20,5790/845

Given numbers are 4468/20,5790/845

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 4468,5790

Least Common Multiple of Numerators i.e. LCM of 4468,5790 is 12934860.

GCF of Denominators means GCF of 20,845 as per the given fractions.

GCF of 20,845 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4468,5790

LCM of Fractions 4468/20,5790/845 is 2586972

2 4468, 5790
2234, 2895

∴ So the LCM of the given numbers is 2 x 2234 x 2895 = 12934860

Least Common Multiple of 4468,5790 with GCF Formula

Least Common Multiple of 4468,5790 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 4468,5790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4468,5790) = 2

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

GCF(4468,5790) x common factors =2 x 1 = 2

LCM(4468,5790) = ( 4468 × 5790 ) / 2

LCM(4468,5790) = 25869720 / 2

LCM(4468,5790) = 12934860


Lets's calculate GCF of 20,845

5 20, 845
4, 169

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12934860/5

Therefore the LCM of Fractions 4468/20,5790/845 is 2586972

Greatest Common Factor of 20,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,845 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 20,845 . The biggest common factor number is the GCF number.
So the greatest common factor 20,845 is 5.


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 4468/20, 5790/845

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 4468/20, 5790/845?

Answer: LCM of Numerators as per given numbers 4468/20, 5790/845 is

LCM of Numerators i.e. for 4468,5790 is 12934860

GCF of denominators i.e. for 20,845 is 5.

Thus, LCM of Fractions is 2586972.Finally, LCM of Fractions for 4468/20, 5790/845 is 2586972.