Least Common Multiple of 24/866, 1908/5838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/866, 1908/5838 quickly i.e. 1908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/866, 1908/5838 is 1908.

LCM(24/866, 1908/5838) = 1908

LCM of 24/866, 1908/5838

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 24/866,1908/5838

Given numbers are 24/866,1908/5838

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 24,1908

Least Common Multiple of Numerators i.e. LCM of 24,1908 is 3816.

GCF of Denominators means GCF of 866,5838 as per the given fractions.

GCF of 866,5838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,1908

LCM of Fractions 24/866,1908/5838 is 1908

2 24, 1908
2 12, 954
3 6, 477
2, 159

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 159 = 3816

Least Common Multiple of 24,1908 with GCF Formula

Least Common Multiple of 24,1908 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 24,1908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,1908) = 12

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

GCF(24,1908) x common factors =12 x 1 = 12

LCM(24,1908) = ( 24 × 1908 ) / 12

LCM(24,1908) = 45792 / 12

LCM(24,1908) = 3816


Lets's calculate GCF of 866,5838

2 866, 5838
433, 2919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3816/2

Therefore the LCM of Fractions 24/866,1908/5838 is 1908

Greatest Common Factor of 866,5838 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,5838 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 5838

List of positive integer factors of 5838 that divides 5838 without a remainder.

1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838

Greatest Common Factor

We found the factors 866,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 866,5838 is 2.


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 24/866, 1908/5838

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 24/866, 1908/5838?

Answer: LCM of Numerators as per given numbers 24/866, 1908/5838 is

LCM of Numerators i.e. for 24,1908 is 3816

GCF of denominators i.e. for 866,5838 is 2.

Thus, LCM of Fractions is 1908.Finally, LCM of Fractions for 24/866, 1908/5838 is 1908.