Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/59, 68/86, 214/60 quickly i.e. 80036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/59, 68/86, 214/60 is 80036.
LCM(44/59, 68/86, 214/60) = 80036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/59,68/86,214/60
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 44,68,214
Least Common Multiple of Numerators i.e. LCM of 44,68,214 is 80036.
GCF of Denominators means GCF of 59,86,60 as per the given fractions.
GCF of 59,86,60 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,68,214
2 | 44, 68, 214 |
2 | 22, 34, 107 |
11, 17, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 107 = 80036
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 44,68,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,68,214) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(44,68,214) x common factors =2 x 4 = 8
LCM(44,68,214) = ( 44 × 68 × 214 ) / 8
LCM(44,68,214) = 640288 / 8
LCM(44,68,214) = 80036
Lets's calculate GCF of 59,86,60
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80036/1
Therefore the LCM of Fractions 44/59,68/86,214/60 is 80036
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Greatest Common Factor
We found the factors 59,86,60 . The biggest common factor number is the GCF number.
So the greatest common factor 59,86,60 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 44/59, 68/86, 214/60?
Answer: LCM of Numerators as per given numbers 44/59, 68/86, 214/60 is
LCM of Numerators i.e. for 44,68,214 is 80036
GCF of denominators i.e. for 59,86,60 is 1.
Thus, LCM of Fractions is 80036.Finally, LCM of Fractions for 44/59, 68/86, 214/60 is 80036.