Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/95, 25/13, 32/26, 16/320 quickly i.e. 26400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/95, 25/13, 32/26, 16/320 is 26400.
LCM(33/95, 25/13, 32/26, 16/320) = 26400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/95,25/13,32/26,16/320
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 33,25,32,16
Least Common Multiple of Numerators i.e. LCM of 33,25,32,16 is 26400.
GCF of Denominators means GCF of 95,13,26,320 as per the given fractions.
GCF of 95,13,26,320 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,25,32,16
2 | 33, 25, 32, 16 |
2 | 33, 25, 16, 8 |
2 | 33, 25, 4, 8 |
2 | 33, 25, 2, 4 |
33, 25, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 33 x 25 x 1 x 2 = 26400
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 33,25,32,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,25,32,16) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(33,25,32,16) x common factors =1 x 16 = 16
LCM(33,25,32,16) = ( 33 × 25 × 32 × 16 ) / 16
LCM(33,25,32,16) = 422400 / 16
LCM(33,25,32,16) = 26400
Lets's calculate GCF of 95,13,26,320
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26400/1
Therefore the LCM of Fractions 33/95,25/13,32/26,16/320 is 26400
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 95,13,26,320 . The biggest common factor number is the GCF number.
So the greatest common factor 95,13,26,320 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 33/95, 25/13, 32/26, 16/320?
Answer: LCM of Numerators as per given numbers 33/95, 25/13, 32/26, 16/320 is
LCM of Numerators i.e. for 33,25,32,16 is 26400
GCF of denominators i.e. for 95,13,26,320 is 1.
Thus, LCM of Fractions is 26400.Finally, LCM of Fractions for 33/95, 25/13, 32/26, 16/320 is 26400.