Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8597/403, 4462/4724 quickly i.e. 38359814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8597/403, 4462/4724 is 38359814.
LCM(8597/403, 4462/4724) = 38359814
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8597/403,4462/4724
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 8597,4462
Least Common Multiple of Numerators i.e. LCM of 8597,4462 is 38359814.
GCF of Denominators means GCF of 403,4724 as per the given fractions.
GCF of 403,4724 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8597,4462
Given numbers has no common factors except 1. So, there LCM is their product i.e 38359814
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 8597,4462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8597,4462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8597,4462) x common factors =1 x 1 = 1
LCM(8597,4462) = ( 8597 × 4462 ) / 1
LCM(8597,4462) = 38359814 / 1
LCM(8597,4462) = 38359814
Lets's calculate GCF of 403,4724
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38359814/1
Therefore the LCM of Fractions 8597/403,4462/4724 is 38359814
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 4724
List of positive integer factors of 4724 that divides 4724 without a remainder.
1,2,4,1181,2362,4724
Greatest Common Factor
We found the factors 403,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 403,4724 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 8597/403, 4462/4724?
Answer: LCM of Numerators as per given numbers 8597/403, 4462/4724 is
LCM of Numerators i.e. for 8597,4462 is 38359814
GCF of denominators i.e. for 403,4724 is 1.
Thus, LCM of Fractions is 38359814.Finally, LCM of Fractions for 8597/403, 4462/4724 is 38359814.