Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/98, 582/3641 quickly i.e. 47142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/98, 582/3641 is 47142.
LCM(243/98, 582/3641) = 47142
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/98,582/3641
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 243,582
Least Common Multiple of Numerators i.e. LCM of 243,582 is 47142.
GCF of Denominators means GCF of 98,3641 as per the given fractions.
GCF of 98,3641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,582
3 | 243, 582 |
81, 194 |
∴ So the LCM of the given numbers is 3 x 81 x 194 = 47142
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 243,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,582) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,582) x common factors =3 x 1 = 3
LCM(243,582) = ( 243 × 582 ) / 3
LCM(243,582) = 141426 / 3
LCM(243,582) = 47142
Lets's calculate GCF of 98,3641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47142/1
Therefore the LCM of Fractions 243/98,582/3641 is 47142
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 3641
List of positive integer factors of 3641 that divides 3641 without a remainder.
1,11,331,3641
Greatest Common Factor
We found the factors 98,3641 . The biggest common factor number is the GCF number.
So the greatest common factor 98,3641 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 243/98, 582/3641?
Answer: LCM of Numerators as per given numbers 243/98, 582/3641 is
LCM of Numerators i.e. for 243,582 is 47142
GCF of denominators i.e. for 98,3641 is 1.
Thus, LCM of Fractions is 47142.Finally, LCM of Fractions for 243/98, 582/3641 is 47142.