Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 747/521, 4028/9597 quickly i.e. 3008916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 747/521, 4028/9597 is 3008916.
LCM(747/521, 4028/9597) = 3008916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 747/521,4028/9597
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 747,4028
Least Common Multiple of Numerators i.e. LCM of 747,4028 is 3008916.
GCF of Denominators means GCF of 521,9597 as per the given fractions.
GCF of 521,9597 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 747,4028
Given numbers has no common factors except 1. So, there LCM is their product i.e 3008916
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 747,4028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,4028) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,4028) x common factors =1 x 1 = 1
LCM(747,4028) = ( 747 × 4028 ) / 1
LCM(747,4028) = 3008916 / 1
LCM(747,4028) = 3008916
Lets's calculate GCF of 521,9597
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3008916/1
Therefore the LCM of Fractions 747/521,4028/9597 is 3008916
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Factors of 9597
List of positive integer factors of 9597 that divides 9597 without a remainder.
1,3,7,21,457,1371,3199,9597
Greatest Common Factor
We found the factors 521,9597 . The biggest common factor number is the GCF number.
So the greatest common factor 521,9597 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 747/521, 4028/9597?
Answer: LCM of Numerators as per given numbers 747/521, 4028/9597 is
LCM of Numerators i.e. for 747,4028 is 3008916
GCF of denominators i.e. for 521,9597 is 1.
Thus, LCM of Fractions is 3008916.Finally, LCM of Fractions for 747/521, 4028/9597 is 3008916.