Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/43, 68/86, 16/59, 56/484 quickly i.e. 1904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/43, 68/86, 16/59, 56/484 is 1904.
LCM(68/43, 68/86, 16/59, 56/484) = 1904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/43,68/86,16/59,56/484
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 68,68,16,56
Least Common Multiple of Numerators i.e. LCM of 68,68,16,56 is 1904.
GCF of Denominators means GCF of 43,86,59,484 as per the given fractions.
GCF of 43,86,59,484 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,68,16,56
2 | 68, 68, 16, 56 |
2 | 34, 34, 8, 28 |
2 | 17, 17, 4, 14 |
17 | 17, 17, 2, 7 |
1, 1, 2, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 1 x 1 x 2 x 7 = 1904
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 68,68,16,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,68,16,56) = 4
common factors(in case of two or more numbers have common factors) = 544
GCF(68,68,16,56) x common factors =4 x 544 = 2176
LCM(68,68,16,56) = ( 68 × 68 × 16 × 56 ) / 2176
LCM(68,68,16,56) = 4143104 / 2176
LCM(68,68,16,56) = 1904
Lets's calculate GCF of 43,86,59,484
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1904/1
Therefore the LCM of Fractions 68/43,68/86,16/59,56/484 is 1904
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 43,86,59,484 . The biggest common factor number is the GCF number.
So the greatest common factor 43,86,59,484 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 68/43, 68/86, 16/59, 56/484?
Answer: LCM of Numerators as per given numbers 68/43, 68/86, 16/59, 56/484 is
LCM of Numerators i.e. for 68,68,16,56 is 1904
GCF of denominators i.e. for 43,86,59,484 is 1.
Thus, LCM of Fractions is 1904.Finally, LCM of Fractions for 68/43, 68/86, 16/59, 56/484 is 1904.