Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9808/261, 7988/5079 quickly i.e. 19586576/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9808/261, 7988/5079 is 19586576/3.
LCM(9808/261, 7988/5079) = 19586576/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9808/261,7988/5079
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 9808,7988
Least Common Multiple of Numerators i.e. LCM of 9808,7988 is 19586576.
GCF of Denominators means GCF of 261,5079 as per the given fractions.
GCF of 261,5079 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9808,7988
2 | 9808, 7988 |
2 | 4904, 3994 |
2452, 1997 |
∴ So the LCM of the given numbers is 2 x 2 x 2452 x 1997 = 19586576
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 9808,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9808,7988) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9808,7988) x common factors =4 x 1 = 4
LCM(9808,7988) = ( 9808 × 7988 ) / 4
LCM(9808,7988) = 78346304 / 4
LCM(9808,7988) = 19586576
Lets's calculate GCF of 261,5079
3 | 261, 5079 |
87, 1693 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19586576/3
Therefore the LCM of Fractions 9808/261,7988/5079 is 19586576/3
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 5079
List of positive integer factors of 5079 that divides 5079 without a remainder.
1,3,1693,5079
Greatest Common Factor
We found the factors 261,5079 . The biggest common factor number is the GCF number.
So the greatest common factor 261,5079 is 3.
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 9808/261, 7988/5079?
Answer: LCM of Numerators as per given numbers 9808/261, 7988/5079 is
LCM of Numerators i.e. for 9808,7988 is 19586576
GCF of denominators i.e. for 261,5079 is 3.
Thus, LCM of Fractions is 19586576/3.Finally, LCM of Fractions for 9808/261, 7988/5079 is 19586576/3.