Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7247/982, 8619/491 quickly i.e. 62461893/491 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7247/982, 8619/491 is 62461893/491.
LCM(7247/982, 8619/491) = 62461893/491
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7247/982,8619/491
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 7247,8619
Least Common Multiple of Numerators i.e. LCM of 7247,8619 is 62461893.
GCF of Denominators means GCF of 982,491 as per the given fractions.
GCF of 982,491 is 491 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7247,8619
Given numbers has no common factors except 1. So, there LCM is their product i.e 62461893
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 7247,8619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7247,8619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7247,8619) x common factors =1 x 1 = 1
LCM(7247,8619) = ( 7247 × 8619 ) / 1
LCM(7247,8619) = 62461893 / 1
LCM(7247,8619) = 62461893
Lets's calculate GCF of 982,491
491 | 982, 491 |
2, 1 |
∴ So the GCF of the given numbers is 491 = 491
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62461893/491
Therefore the LCM of Fractions 7247/982,8619/491 is 62461893/491
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Greatest Common Factor
We found the factors 982,491 . The biggest common factor number is the GCF number.
So the greatest common factor 982,491 is 491.
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 7247/982, 8619/491?
Answer: LCM of Numerators as per given numbers 7247/982, 8619/491 is
LCM of Numerators i.e. for 7247,8619 is 62461893
GCF of denominators i.e. for 982,491 is 491.
Thus, LCM of Fractions is 62461893/491.Finally, LCM of Fractions for 7247/982, 8619/491 is 62461893/491.