Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/115, 4832/8441 quickly i.e. 236768/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/115, 4832/8441 is 236768/23.
LCM(98/115, 4832/8441) = 236768/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/115,4832/8441
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 98,4832
Least Common Multiple of Numerators i.e. LCM of 98,4832 is 236768.
GCF of Denominators means GCF of 115,8441 as per the given fractions.
GCF of 115,8441 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,4832
2 | 98, 4832 |
49, 2416 |
∴ So the LCM of the given numbers is 2 x 49 x 2416 = 236768
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 98,4832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,4832) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,4832) x common factors =2 x 1 = 2
LCM(98,4832) = ( 98 × 4832 ) / 2
LCM(98,4832) = 473536 / 2
LCM(98,4832) = 236768
Lets's calculate GCF of 115,8441
23 | 115, 8441 |
5, 367 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236768/23
Therefore the LCM of Fractions 98/115,4832/8441 is 236768/23
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 8441
List of positive integer factors of 8441 that divides 8441 without a remainder.
1,23,367,8441
Greatest Common Factor
We found the factors 115,8441 . The biggest common factor number is the GCF number.
So the greatest common factor 115,8441 is 23.
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 98/115, 4832/8441?
Answer: LCM of Numerators as per given numbers 98/115, 4832/8441 is
LCM of Numerators i.e. for 98,4832 is 236768
GCF of denominators i.e. for 115,8441 is 23.
Thus, LCM of Fractions is 236768/23.Finally, LCM of Fractions for 98/115, 4832/8441 is 236768/23.