Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9926/959, 7852/460 quickly i.e. 38969476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9926/959, 7852/460 is 38969476.
LCM(9926/959, 7852/460) = 38969476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9926/959,7852/460
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 9926,7852
Least Common Multiple of Numerators i.e. LCM of 9926,7852 is 38969476.
GCF of Denominators means GCF of 959,460 as per the given fractions.
GCF of 959,460 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9926,7852
2 | 9926, 7852 |
4963, 3926 |
∴ So the LCM of the given numbers is 2 x 4963 x 3926 = 38969476
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 9926,7852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9926,7852) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9926,7852) x common factors =2 x 1 = 2
LCM(9926,7852) = ( 9926 × 7852 ) / 2
LCM(9926,7852) = 77938952 / 2
LCM(9926,7852) = 38969476
Lets's calculate GCF of 959,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38969476/1
Therefore the LCM of Fractions 9926/959,7852/460 is 38969476
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 959,460 . The biggest common factor number is the GCF number.
So the greatest common factor 959,460 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 9926/959, 7852/460?
Answer: LCM of Numerators as per given numbers 9926/959, 7852/460 is
LCM of Numerators i.e. for 9926,7852 is 38969476
GCF of denominators i.e. for 959,460 is 1.
Thus, LCM of Fractions is 38969476.Finally, LCM of Fractions for 9926/959, 7852/460 is 38969476.