Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/86, 18/32, 116/286 quickly i.e. 7308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/86, 18/32, 116/286 is 7308.
LCM(56/86, 18/32, 116/286) = 7308
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/86,18/32,116/286
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 56,18,116
Least Common Multiple of Numerators i.e. LCM of 56,18,116 is 14616.
GCF of Denominators means GCF of 86,32,286 as per the given fractions.
GCF of 86,32,286 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,18,116
2 | 56, 18, 116 |
2 | 28, 9, 58 |
14, 9, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 14 x 9 x 29 = 14616
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 56,18,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,18,116) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(56,18,116) x common factors =2 x 4 = 8
LCM(56,18,116) = ( 56 × 18 × 116 ) / 8
LCM(56,18,116) = 116928 / 8
LCM(56,18,116) = 14616
Lets's calculate GCF of 86,32,286
2 | 86, 32, 286 |
43, 16, 143 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14616/2
Therefore the LCM of Fractions 56/86,18/32,116/286 is 7308
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 86,32,286 . The biggest common factor number is the GCF number.
So the greatest common factor 86,32,286 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 56/86, 18/32, 116/286?
Answer: LCM of Numerators as per given numbers 56/86, 18/32, 116/286 is
LCM of Numerators i.e. for 56,18,116 is 14616
GCF of denominators i.e. for 86,32,286 is 2.
Thus, LCM of Fractions is 7308.Finally, LCM of Fractions for 56/86, 18/32, 116/286 is 7308.