Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9494/967, 2032/639 quickly i.e. 9645904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9494/967, 2032/639 is 9645904.
LCM(9494/967, 2032/639) = 9645904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9494/967,2032/639
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 9494,2032
Least Common Multiple of Numerators i.e. LCM of 9494,2032 is 9645904.
GCF of Denominators means GCF of 967,639 as per the given fractions.
GCF of 967,639 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9494,2032
2 | 9494, 2032 |
4747, 1016 |
∴ So the LCM of the given numbers is 2 x 4747 x 1016 = 9645904
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 9494,2032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9494,2032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9494,2032) x common factors =2 x 1 = 2
LCM(9494,2032) = ( 9494 × 2032 ) / 2
LCM(9494,2032) = 19291808 / 2
LCM(9494,2032) = 9645904
Lets's calculate GCF of 967,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9645904/1
Therefore the LCM of Fractions 9494/967,2032/639 is 9645904
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Greatest Common Factor
We found the factors 967,639 . The biggest common factor number is the GCF number.
So the greatest common factor 967,639 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 9494/967, 2032/639?
Answer: LCM of Numerators as per given numbers 9494/967, 2032/639 is
LCM of Numerators i.e. for 9494,2032 is 9645904
GCF of denominators i.e. for 967,639 is 1.
Thus, LCM of Fractions is 9645904.Finally, LCM of Fractions for 9494/967, 2032/639 is 9645904.