Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8309/210, 3189/8982 quickly i.e. 26497401/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8309/210, 3189/8982 is 26497401/6.
LCM(8309/210, 3189/8982) = 26497401/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8309/210,3189/8982
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 8309,3189
Least Common Multiple of Numerators i.e. LCM of 8309,3189 is 26497401.
GCF of Denominators means GCF of 210,8982 as per the given fractions.
GCF of 210,8982 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8309,3189
Given numbers has no common factors except 1. So, there LCM is their product i.e 26497401
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 8309,3189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8309,3189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8309,3189) x common factors =1 x 1 = 1
LCM(8309,3189) = ( 8309 × 3189 ) / 1
LCM(8309,3189) = 26497401 / 1
LCM(8309,3189) = 26497401
Lets's calculate GCF of 210,8982
2 | 210, 8982 |
3 | 105, 4491 |
35, 1497 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26497401/6
Therefore the LCM of Fractions 8309/210,3189/8982 is 26497401/6
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 8982
List of positive integer factors of 8982 that divides 8982 without a remainder.
1,2,3,6,9,18,499,998,1497,2994,4491,8982
Greatest Common Factor
We found the factors 210,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 210,8982 is 6.
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 8309/210, 3189/8982?
Answer: LCM of Numerators as per given numbers 8309/210, 3189/8982 is
LCM of Numerators i.e. for 8309,3189 is 26497401
GCF of denominators i.e. for 210,8982 is 6.
Thus, LCM of Fractions is 26497401/6.Finally, LCM of Fractions for 8309/210, 3189/8982 is 26497401/6.