Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/44, 26/21, 215/25 quickly i.e. 128570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/44, 26/21, 215/25 is 128570.
LCM(23/44, 26/21, 215/25) = 128570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/44,26/21,215/25
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 23,26,215
Least Common Multiple of Numerators i.e. LCM of 23,26,215 is 128570.
GCF of Denominators means GCF of 44,21,25 as per the given fractions.
GCF of 44,21,25 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,26,215
Given numbers has no common factors except 1. So, there LCM is their product i.e 128570
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 23,26,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,26,215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,26,215) x common factors =1 x 1 = 1
LCM(23,26,215) = ( 23 × 26 × 215 ) / 1
LCM(23,26,215) = 128570 / 1
LCM(23,26,215) = 128570
Lets's calculate GCF of 44,21,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128570/1
Therefore the LCM of Fractions 23/44,26/21,215/25 is 128570
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Greatest Common Factor
We found the factors 44,21,25 . The biggest common factor number is the GCF number.
So the greatest common factor 44,21,25 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 23/44, 26/21, 215/25?
Answer: LCM of Numerators as per given numbers 23/44, 26/21, 215/25 is
LCM of Numerators i.e. for 23,26,215 is 128570
GCF of denominators i.e. for 44,21,25 is 1.
Thus, LCM of Fractions is 128570.Finally, LCM of Fractions for 23/44, 26/21, 215/25 is 128570.