Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/573, 8158/6561 quickly i.e. 399742/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/573, 8158/6561 is 399742/3.
LCM(98/573, 8158/6561) = 399742/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/573,8158/6561
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 98,8158
Least Common Multiple of Numerators i.e. LCM of 98,8158 is 399742.
GCF of Denominators means GCF of 573,6561 as per the given fractions.
GCF of 573,6561 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,8158
2 | 98, 8158 |
49, 4079 |
∴ So the LCM of the given numbers is 2 x 49 x 4079 = 399742
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 98,8158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,8158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,8158) x common factors =2 x 1 = 2
LCM(98,8158) = ( 98 × 8158 ) / 2
LCM(98,8158) = 799484 / 2
LCM(98,8158) = 399742
Lets's calculate GCF of 573,6561
3 | 573, 6561 |
191, 2187 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399742/3
Therefore the LCM of Fractions 98/573,8158/6561 is 399742/3
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 6561
List of positive integer factors of 6561 that divides 6561 without a remainder.
1,3,9,27,81,243,729,2187,6561
Greatest Common Factor
We found the factors 573,6561 . The biggest common factor number is the GCF number.
So the greatest common factor 573,6561 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 98/573, 8158/6561?
Answer: LCM of Numerators as per given numbers 98/573, 8158/6561 is
LCM of Numerators i.e. for 98,8158 is 399742
GCF of denominators i.e. for 573,6561 is 3.
Thus, LCM of Fractions is 399742/3.Finally, LCM of Fractions for 98/573, 8158/6561 is 399742/3.