Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9942/715, 6336/1881 quickly i.e. 954432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9942/715, 6336/1881 is 954432.
LCM(9942/715, 6336/1881) = 954432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9942/715,6336/1881
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 9942,6336
Least Common Multiple of Numerators i.e. LCM of 9942,6336 is 10498752.
GCF of Denominators means GCF of 715,1881 as per the given fractions.
GCF of 715,1881 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9942,6336
2 | 9942, 6336 |
3 | 4971, 3168 |
1657, 1056 |
∴ So the LCM of the given numbers is 2 x 3 x 1657 x 1056 = 10498752
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 9942,6336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9942,6336) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(9942,6336) x common factors =6 x 1 = 6
LCM(9942,6336) = ( 9942 × 6336 ) / 6
LCM(9942,6336) = 62992512 / 6
LCM(9942,6336) = 10498752
Lets's calculate GCF of 715,1881
11 | 715, 1881 |
65, 171 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10498752/11
Therefore the LCM of Fractions 9942/715,6336/1881 is 954432
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Factors of 1881
List of positive integer factors of 1881 that divides 1881 without a remainder.
1,3,9,11,19,33,57,99,171,209,627,1881
Greatest Common Factor
We found the factors 715,1881 . The biggest common factor number is the GCF number.
So the greatest common factor 715,1881 is 11.
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 9942/715, 6336/1881?
Answer: LCM of Numerators as per given numbers 9942/715, 6336/1881 is
LCM of Numerators i.e. for 9942,6336 is 10498752
GCF of denominators i.e. for 715,1881 is 11.
Thus, LCM of Fractions is 954432.Finally, LCM of Fractions for 9942/715, 6336/1881 is 954432.