Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/98, 82/68, 30/34, 39/13 quickly i.e. 271830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/98, 82/68, 30/34, 39/13 is 271830.
LCM(34/98, 82/68, 30/34, 39/13) = 271830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/98,82/68,30/34,39/13
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 34,82,30,39
Least Common Multiple of Numerators i.e. LCM of 34,82,30,39 is 271830.
GCF of Denominators means GCF of 98,68,34,13 as per the given fractions.
GCF of 98,68,34,13 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,82,30,39
2 | 34, 82, 30, 39 |
3 | 17, 41, 15, 39 |
17, 41, 5, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 41 x 5 x 13 = 271830
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 34,82,30,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,82,30,39) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(34,82,30,39) x common factors =1 x 12 = 12
LCM(34,82,30,39) = ( 34 × 82 × 30 × 39 ) / 12
LCM(34,82,30,39) = 3261960 / 12
LCM(34,82,30,39) = 271830
Lets's calculate GCF of 98,68,34,13
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271830/1
Therefore the LCM of Fractions 34/98,82/68,30/34,39/13 is 271830
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Greatest Common Factor
We found the factors 98,68,34,13 . The biggest common factor number is the GCF number.
So the greatest common factor 98,68,34,13 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 34/98, 82/68, 30/34, 39/13?
Answer: LCM of Numerators as per given numbers 34/98, 82/68, 30/34, 39/13 is
LCM of Numerators i.e. for 34,82,30,39 is 271830
GCF of denominators i.e. for 98,68,34,13 is 1.
Thus, LCM of Fractions is 271830.Finally, LCM of Fractions for 34/98, 82/68, 30/34, 39/13 is 271830.