Least Common Multiple of 43/21, 905/18, 720/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/21, 905/18, 720/579 quickly i.e. 1867920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/21, 905/18, 720/579 is 1867920.

LCM(43/21, 905/18, 720/579) = 1867920

LCM of 43/21, 905/18, 720/579

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 43/21,905/18,720/579

Given numbers are 43/21,905/18,720/579

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 43,905,720

Least Common Multiple of Numerators i.e. LCM of 43,905,720 is 5603760.

GCF of Denominators means GCF of 21,18,579 as per the given fractions.

GCF of 21,18,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,905,720

LCM of Fractions 43/21,905/18,720/579 is 1867920

5 43, 905, 720
43, 181, 144

∴ So the LCM of the given numbers is 5 x 43 x 181 x 144 = 5603760

Least Common Multiple of 43,905,720 with GCF Formula

Least Common Multiple of 43,905,720 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 43,905,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,905,720) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(43,905,720) x common factors =1 x 5 = 5

LCM(43,905,720) = ( 43 × 905 × 720 ) / 5

LCM(43,905,720) = 28018800 / 5

LCM(43,905,720) = 5603760


Lets's calculate GCF of 21,18,579

3 21, 18, 579
7, 6, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5603760/3

Therefore the LCM of Fractions 43/21,905/18,720/579 is 1867920

Greatest Common Factor of 21,18,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,18,579 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 21,18,579 . The biggest common factor number is the GCF number.
So the greatest common factor 21,18,579 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 43/21, 905/18, 720/579

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 43/21, 905/18, 720/579?

Answer: LCM of Numerators as per given numbers 43/21, 905/18, 720/579 is

LCM of Numerators i.e. for 43,905,720 is 5603760

GCF of denominators i.e. for 21,18,579 is 3.

Thus, LCM of Fractions is 1867920.Finally, LCM of Fractions for 43/21, 905/18, 720/579 is 1867920.