Least Common Multiple of 44/13, 868/20, 344/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/13, 868/20, 344/940 quickly i.e. 821128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/13, 868/20, 344/940 is 821128.

LCM(44/13, 868/20, 344/940) = 821128

LCM of 44/13, 868/20, 344/940

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 44/13,868/20,344/940

Given numbers are 44/13,868/20,344/940

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 44,868,344

Least Common Multiple of Numerators i.e. LCM of 44,868,344 is 821128.

GCF of Denominators means GCF of 13,20,940 as per the given fractions.

GCF of 13,20,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,868,344

LCM of Fractions 44/13,868/20,344/940 is 821128

2 44, 868, 344
2 22, 434, 172
11, 217, 86

∴ So the LCM of the given numbers is 2 x 2 x 11 x 217 x 86 = 821128

Least Common Multiple of 44,868,344 with GCF Formula

Least Common Multiple of 44,868,344 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 44,868,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,868,344) = 4

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

GCF(44,868,344) x common factors =4 x 4 = 16

LCM(44,868,344) = ( 44 × 868 × 344 ) / 16

LCM(44,868,344) = 13138048 / 16

LCM(44,868,344) = 821128


Lets's calculate GCF of 13,20,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 821128/1

Therefore the LCM of Fractions 44/13,868/20,344/940 is 821128

Greatest Common Factor of 13,20,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,20,940 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 20

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

1,2,4,5,10,20

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 13,20,940 . The biggest common factor number is the GCF number.
So the greatest common factor 13,20,940 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 44/13, 868/20, 344/940

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 44/13, 868/20, 344/940?

Answer: LCM of Numerators as per given numbers 44/13, 868/20, 344/940 is

LCM of Numerators i.e. for 44,868,344 is 821128

GCF of denominators i.e. for 13,20,940 is 1.

Thus, LCM of Fractions is 821128.Finally, LCM of Fractions for 44/13, 868/20, 344/940 is 821128.