Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 219/44, 991/32, 375/24 quickly i.e. 27128625/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 219/44, 991/32, 375/24 is 27128625/4.
LCM(219/44, 991/32, 375/24) = 27128625/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 219/44,991/32,375/24
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 219,991,375
Least Common Multiple of Numerators i.e. LCM of 219,991,375 is 27128625.
GCF of Denominators means GCF of 44,32,24 as per the given fractions.
GCF of 44,32,24 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 219,991,375
3 | 219, 991, 375 |
73, 991, 125 |
∴ So the LCM of the given numbers is 3 x 73 x 991 x 125 = 27128625
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 219,991,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,991,375) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(219,991,375) x common factors =1 x 3 = 3
LCM(219,991,375) = ( 219 × 991 × 375 ) / 3
LCM(219,991,375) = 81385875 / 3
LCM(219,991,375) = 27128625
Lets's calculate GCF of 44,32,24
2 | 44, 32, 24 |
2 | 22, 16, 12 |
11, 8, 6 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27128625/4
Therefore the LCM of Fractions 219/44,991/32,375/24 is 27128625/4
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 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Greatest Common Factor
We found the factors 44,32,24 . The biggest common factor number is the GCF number.
So the greatest common factor 44,32,24 is 4.
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 219/44, 991/32, 375/24?
Answer: LCM of Numerators as per given numbers 219/44, 991/32, 375/24 is
LCM of Numerators i.e. for 219,991,375 is 27128625
GCF of denominators i.e. for 44,32,24 is 4.
Thus, LCM of Fractions is 27128625/4.Finally, LCM of Fractions for 219/44, 991/32, 375/24 is 27128625/4.