Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4098/110, 6002/8101 quickly i.e. 12298098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4098/110, 6002/8101 is 12298098.
LCM(4098/110, 6002/8101) = 12298098
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4098/110,6002/8101
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 4098,6002
Least Common Multiple of Numerators i.e. LCM of 4098,6002 is 12298098.
GCF of Denominators means GCF of 110,8101 as per the given fractions.
GCF of 110,8101 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4098,6002
2 | 4098, 6002 |
2049, 3001 |
∴ So the LCM of the given numbers is 2 x 2049 x 3001 = 12298098
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 4098,6002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4098,6002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4098,6002) x common factors =2 x 1 = 2
LCM(4098,6002) = ( 4098 × 6002 ) / 2
LCM(4098,6002) = 24596196 / 2
LCM(4098,6002) = 12298098
Lets's calculate GCF of 110,8101
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12298098/1
Therefore the LCM of Fractions 4098/110,6002/8101 is 12298098
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 8101
List of positive integer factors of 8101 that divides 8101 without a remainder.
1,8101
Greatest Common Factor
We found the factors 110,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 110,8101 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 4098/110, 6002/8101?
Answer: LCM of Numerators as per given numbers 4098/110, 6002/8101 is
LCM of Numerators i.e. for 4098,6002 is 12298098
GCF of denominators i.e. for 110,8101 is 1.
Thus, LCM of Fractions is 12298098.Finally, LCM of Fractions for 4098/110, 6002/8101 is 12298098.