Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6373/982, 9547/6144 quickly i.e. 60843031/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6373/982, 9547/6144 is 60843031/2.
LCM(6373/982, 9547/6144) = 60843031/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6373/982,9547/6144
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 6373,9547
Least Common Multiple of Numerators i.e. LCM of 6373,9547 is 60843031.
GCF of Denominators means GCF of 982,6144 as per the given fractions.
GCF of 982,6144 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6373,9547
Given numbers has no common factors except 1. So, there LCM is their product i.e 60843031
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 6373,9547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6373,9547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6373,9547) x common factors =1 x 1 = 1
LCM(6373,9547) = ( 6373 × 9547 ) / 1
LCM(6373,9547) = 60843031 / 1
LCM(6373,9547) = 60843031
Lets's calculate GCF of 982,6144
2 | 982, 6144 |
491, 3072 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60843031/2
Therefore the LCM of Fractions 6373/982,9547/6144 is 60843031/2
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 6144
List of positive integer factors of 6144 that divides 6144 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,2048,3072,6144
Greatest Common Factor
We found the factors 982,6144 . The biggest common factor number is the GCF number.
So the greatest common factor 982,6144 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 6373/982, 9547/6144?
Answer: LCM of Numerators as per given numbers 6373/982, 9547/6144 is
LCM of Numerators i.e. for 6373,9547 is 60843031
GCF of denominators i.e. for 982,6144 is 2.
Thus, LCM of Fractions is 60843031/2.Finally, LCM of Fractions for 6373/982, 9547/6144 is 60843031/2.