Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1463/616, 9788/8254 quickly i.e. 7159922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1463/616, 9788/8254 is 7159922.
LCM(1463/616, 9788/8254) = 7159922
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1463/616,9788/8254
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 1463,9788
Least Common Multiple of Numerators i.e. LCM of 1463,9788 is 14319844.
GCF of Denominators means GCF of 616,8254 as per the given fractions.
GCF of 616,8254 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1463,9788
Given numbers has no common factors except 1. So, there LCM is their product i.e 14319844
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 1463,9788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1463,9788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1463,9788) x common factors =1 x 1 = 1
LCM(1463,9788) = ( 1463 × 9788 ) / 1
LCM(1463,9788) = 14319844 / 1
LCM(1463,9788) = 14319844
Lets's calculate GCF of 616,8254
2 | 616, 8254 |
308, 4127 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14319844/2
Therefore the LCM of Fractions 1463/616,9788/8254 is 7159922
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 8254
List of positive integer factors of 8254 that divides 8254 without a remainder.
1,2,4127,8254
Greatest Common Factor
We found the factors 616,8254 . The biggest common factor number is the GCF number.
So the greatest common factor 616,8254 is 2.
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 1463/616, 9788/8254?
Answer: LCM of Numerators as per given numbers 1463/616, 9788/8254 is
LCM of Numerators i.e. for 1463,9788 is 14319844
GCF of denominators i.e. for 616,8254 is 2.
Thus, LCM of Fractions is 7159922.Finally, LCM of Fractions for 1463/616, 9788/8254 is 7159922.