Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/26, 85/38, 34/80, 23/568 quickly i.e. 130985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/26, 85/38, 34/80, 23/568 is 130985.
LCM(67/26, 85/38, 34/80, 23/568) = 130985
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/26,85/38,34/80,23/568
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 67,85,34,23
Least Common Multiple of Numerators i.e. LCM of 67,85,34,23 is 261970.
GCF of Denominators means GCF of 26,38,80,568 as per the given fractions.
GCF of 26,38,80,568 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,85,34,23
17 | 67, 85, 34, 23 |
67, 5, 2, 23 |
∴ So the LCM of the given numbers is 17 x 67 x 5 x 2 x 23 = 261970
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 67,85,34,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,85,34,23) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(67,85,34,23) x common factors =1 x 17 = 17
LCM(67,85,34,23) = ( 67 × 85 × 34 × 23 ) / 17
LCM(67,85,34,23) = 4453490 / 17
LCM(67,85,34,23) = 261970
Lets's calculate GCF of 26,38,80,568
2 | 26, 38, 80, 568 |
13, 19, 40, 284 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261970/2
Therefore the LCM of Fractions 67/26,85/38,34/80,23/568 is 130985
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 26,38,80,568 . The biggest common factor number is the GCF number.
So the greatest common factor 26,38,80,568 is 2.
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 67/26, 85/38, 34/80, 23/568?
Answer: LCM of Numerators as per given numbers 67/26, 85/38, 34/80, 23/568 is
LCM of Numerators i.e. for 67,85,34,23 is 261970
GCF of denominators i.e. for 26,38,80,568 is 2.
Thus, LCM of Fractions is 130985.Finally, LCM of Fractions for 67/26, 85/38, 34/80, 23/568 is 130985.