Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/82, 13/42, 59/34, 69/481 quickly i.e. 3598764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/82, 13/42, 59/34, 69/481 is 3598764.
LCM(68/82, 13/42, 59/34, 69/481) = 3598764
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/82,13/42,59/34,69/481
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 68,13,59,69
Least Common Multiple of Numerators i.e. LCM of 68,13,59,69 is 3598764.
GCF of Denominators means GCF of 82,42,34,481 as per the given fractions.
GCF of 82,42,34,481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,13,59,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 3598764
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 68,13,59,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,13,59,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,13,59,69) x common factors =1 x 1 = 1
LCM(68,13,59,69) = ( 68 × 13 × 59 × 69 ) / 1
LCM(68,13,59,69) = 3598764 / 1
LCM(68,13,59,69) = 3598764
Lets's calculate GCF of 82,42,34,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3598764/1
Therefore the LCM of Fractions 68/82,13/42,59/34,69/481 is 3598764
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 82,42,34,481 . The biggest common factor number is the GCF number.
So the greatest common factor 82,42,34,481 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 68/82, 13/42, 59/34, 69/481?
Answer: LCM of Numerators as per given numbers 68/82, 13/42, 59/34, 69/481 is
LCM of Numerators i.e. for 68,13,59,69 is 3598764
GCF of denominators i.e. for 82,42,34,481 is 1.
Thus, LCM of Fractions is 3598764.Finally, LCM of Fractions for 68/82, 13/42, 59/34, 69/481 is 3598764.