Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9646/334, 5834/9551 quickly i.e. 28137382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9646/334, 5834/9551 is 28137382.
LCM(9646/334, 5834/9551) = 28137382
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9646/334,5834/9551
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 9646,5834
Least Common Multiple of Numerators i.e. LCM of 9646,5834 is 28137382.
GCF of Denominators means GCF of 334,9551 as per the given fractions.
GCF of 334,9551 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9646,5834
2 | 9646, 5834 |
4823, 2917 |
∴ So the LCM of the given numbers is 2 x 4823 x 2917 = 28137382
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 9646,5834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9646,5834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9646,5834) x common factors =2 x 1 = 2
LCM(9646,5834) = ( 9646 × 5834 ) / 2
LCM(9646,5834) = 56274764 / 2
LCM(9646,5834) = 28137382
Lets's calculate GCF of 334,9551
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28137382/1
Therefore the LCM of Fractions 9646/334,5834/9551 is 28137382
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 9551
List of positive integer factors of 9551 that divides 9551 without a remainder.
1,9551
Greatest Common Factor
We found the factors 334,9551 . The biggest common factor number is the GCF number.
So the greatest common factor 334,9551 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 9646/334, 5834/9551?
Answer: LCM of Numerators as per given numbers 9646/334, 5834/9551 is
LCM of Numerators i.e. for 9646,5834 is 28137382
GCF of denominators i.e. for 334,9551 is 1.
Thus, LCM of Fractions is 28137382.Finally, LCM of Fractions for 9646/334, 5834/9551 is 28137382.