Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/13, 86/30, 60/16, 85/140 quickly i.e. 43860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/13, 86/30, 60/16, 85/140 is 43860.
LCM(15/13, 86/30, 60/16, 85/140) = 43860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/13,86/30,60/16,85/140
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 15,86,60,85
Least Common Multiple of Numerators i.e. LCM of 15,86,60,85 is 43860.
GCF of Denominators means GCF of 13,30,16,140 as per the given fractions.
GCF of 13,30,16,140 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,86,60,85
2 | 15, 86, 60, 85 |
3 | 15, 43, 30, 85 |
5 | 5, 43, 10, 85 |
1, 43, 2, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 43 x 2 x 17 = 43860
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 15,86,60,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,86,60,85) = 1
common factors(in case of two or more numbers have common factors) = 150
GCF(15,86,60,85) x common factors =1 x 150 = 150
LCM(15,86,60,85) = ( 15 × 86 × 60 × 85 ) / 150
LCM(15,86,60,85) = 6579000 / 150
LCM(15,86,60,85) = 43860
Lets's calculate GCF of 13,30,16,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43860/1
Therefore the LCM of Fractions 15/13,86/30,60/16,85/140 is 43860
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 13,30,16,140 . The biggest common factor number is the GCF number.
So the greatest common factor 13,30,16,140 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 15/13, 86/30, 60/16, 85/140?
Answer: LCM of Numerators as per given numbers 15/13, 86/30, 60/16, 85/140 is
LCM of Numerators i.e. for 15,86,60,85 is 43860
GCF of denominators i.e. for 13,30,16,140 is 1.
Thus, LCM of Fractions is 43860.Finally, LCM of Fractions for 15/13, 86/30, 60/16, 85/140 is 43860.