Least Common Multiple of 44/626, 24/594, 113/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/626, 24/594, 113/866 quickly i.e. 14916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/626, 24/594, 113/866 is 14916.

LCM(44/626, 24/594, 113/866) = 14916

LCM of 44/626, 24/594, 113/866

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 44/626,24/594,113/866

Given numbers are 44/626,24/594,113/866

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 44,24,113

Least Common Multiple of Numerators i.e. LCM of 44,24,113 is 29832.

GCF of Denominators means GCF of 626,594,866 as per the given fractions.

GCF of 626,594,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,24,113

LCM of Fractions 44/626,24/594,113/866 is 14916

2 44, 24, 113
2 22, 12, 113
11, 6, 113

∴ So the LCM of the given numbers is 2 x 2 x 11 x 6 x 113 = 29832

Least Common Multiple of 44,24,113 with GCF Formula

Least Common Multiple of 44,24,113 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 44,24,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,24,113) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,24,113) x common factors =1 x 4 = 4

LCM(44,24,113) = ( 44 × 24 × 113 ) / 4

LCM(44,24,113) = 119328 / 4

LCM(44,24,113) = 29832


Lets's calculate GCF of 626,594,866

2 626, 594, 866
313, 297, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29832/2

Therefore the LCM of Fractions 44/626,24/594,113/866 is 14916

Greatest Common Factor of 626,594,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,594,866 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 866

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

1,2,433,866

Greatest Common Factor

We found the factors 626,594,866 . The biggest common factor number is the GCF number.
So the greatest common factor 626,594,866 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 44/626, 24/594, 113/866

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 44/626, 24/594, 113/866?

Answer: LCM of Numerators as per given numbers 44/626, 24/594, 113/866 is

LCM of Numerators i.e. for 44,24,113 is 29832

GCF of denominators i.e. for 626,594,866 is 2.

Thus, LCM of Fractions is 14916.Finally, LCM of Fractions for 44/626, 24/594, 113/866 is 14916.