Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5941/373, 7602/8960 quickly i.e. 45163482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5941/373, 7602/8960 is 45163482.
LCM(5941/373, 7602/8960) = 45163482
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5941/373,7602/8960
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 5941,7602
Least Common Multiple of Numerators i.e. LCM of 5941,7602 is 45163482.
GCF of Denominators means GCF of 373,8960 as per the given fractions.
GCF of 373,8960 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5941,7602
Given numbers has no common factors except 1. So, there LCM is their product i.e 45163482
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 5941,7602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5941,7602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5941,7602) x common factors =1 x 1 = 1
LCM(5941,7602) = ( 5941 × 7602 ) / 1
LCM(5941,7602) = 45163482 / 1
LCM(5941,7602) = 45163482
Lets's calculate GCF of 373,8960
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45163482/1
Therefore the LCM of Fractions 5941/373,7602/8960 is 45163482
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 8960
List of positive integer factors of 8960 that divides 8960 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960
Greatest Common Factor
We found the factors 373,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 373,8960 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 5941/373, 7602/8960?
Answer: LCM of Numerators as per given numbers 5941/373, 7602/8960 is
LCM of Numerators i.e. for 5941,7602 is 45163482
GCF of denominators i.e. for 373,8960 is 1.
Thus, LCM of Fractions is 45163482.Finally, LCM of Fractions for 5941/373, 7602/8960 is 45163482.