Least Common Multiple of 24/595, 5706/5143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/595, 5706/5143 quickly i.e. 22824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/595, 5706/5143 is 22824.

LCM(24/595, 5706/5143) = 22824

LCM of 24/595, 5706/5143

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 24/595,5706/5143

Given numbers are 24/595,5706/5143

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 24,5706

Least Common Multiple of Numerators i.e. LCM of 24,5706 is 22824.

GCF of Denominators means GCF of 595,5143 as per the given fractions.

GCF of 595,5143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,5706

LCM of Fractions 24/595,5706/5143 is 22824

2 24, 5706
3 12, 2853
4, 951

∴ So the LCM of the given numbers is 2 x 3 x 4 x 951 = 22824

Least Common Multiple of 24,5706 with GCF Formula

Least Common Multiple of 24,5706 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 24,5706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,5706) = 6

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

GCF(24,5706) x common factors =6 x 1 = 6

LCM(24,5706) = ( 24 × 5706 ) / 6

LCM(24,5706) = 136944 / 6

LCM(24,5706) = 22824


Lets's calculate GCF of 595,5143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22824/1

Therefore the LCM of Fractions 24/595,5706/5143 is 22824

Greatest Common Factor of 595,5143 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,5143 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 5143

List of positive integer factors of 5143 that divides 5143 without a remainder.

1,37,139,5143

Greatest Common Factor

We found the factors 595,5143 . The biggest common factor number is the GCF number.
So the greatest common factor 595,5143 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 24/595, 5706/5143

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 24/595, 5706/5143?

Answer: LCM of Numerators as per given numbers 24/595, 5706/5143 is

LCM of Numerators i.e. for 24,5706 is 22824

GCF of denominators i.e. for 595,5143 is 1.

Thus, LCM of Fractions is 22824.Finally, LCM of Fractions for 24/595, 5706/5143 is 22824.