Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/44, 40/32, 25/91, 80/396 quickly i.e. 18800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/44, 40/32, 25/91, 80/396 is 18800.
LCM(47/44, 40/32, 25/91, 80/396) = 18800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/44,40/32,25/91,80/396
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 47,40,25,80
Least Common Multiple of Numerators i.e. LCM of 47,40,25,80 is 18800.
GCF of Denominators means GCF of 44,32,91,396 as per the given fractions.
GCF of 44,32,91,396 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,40,25,80
2 | 47, 40, 25, 80 |
2 | 47, 20, 25, 40 |
2 | 47, 10, 25, 20 |
5 | 47, 5, 25, 10 |
47, 1, 5, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 47 x 1 x 5 x 2 = 18800
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 47,40,25,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,40,25,80) = 1
common factors(in case of two or more numbers have common factors) = 200
GCF(47,40,25,80) x common factors =1 x 200 = 200
LCM(47,40,25,80) = ( 47 × 40 × 25 × 80 ) / 200
LCM(47,40,25,80) = 3760000 / 200
LCM(47,40,25,80) = 18800
Lets's calculate GCF of 44,32,91,396
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18800/1
Therefore the LCM of Fractions 47/44,40/32,25/91,80/396 is 18800
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 44,32,91,396 . The biggest common factor number is the GCF number.
So the greatest common factor 44,32,91,396 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 47/44, 40/32, 25/91, 80/396?
Answer: LCM of Numerators as per given numbers 47/44, 40/32, 25/91, 80/396 is
LCM of Numerators i.e. for 47,40,25,80 is 18800
GCF of denominators i.e. for 44,32,91,396 is 1.
Thus, LCM of Fractions is 18800.Finally, LCM of Fractions for 47/44, 40/32, 25/91, 80/396 is 18800.