Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 607/599, 7524/6137 quickly i.e. 4567068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 607/599, 7524/6137 is 4567068.
LCM(607/599, 7524/6137) = 4567068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 607/599,7524/6137
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 607,7524
Least Common Multiple of Numerators i.e. LCM of 607,7524 is 4567068.
GCF of Denominators means GCF of 599,6137 as per the given fractions.
GCF of 599,6137 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 607,7524
Given numbers has no common factors except 1. So, there LCM is their product i.e 4567068
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 607,7524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,7524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,7524) x common factors =1 x 1 = 1
LCM(607,7524) = ( 607 × 7524 ) / 1
LCM(607,7524) = 4567068 / 1
LCM(607,7524) = 4567068
Lets's calculate GCF of 599,6137
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4567068/1
Therefore the LCM of Fractions 607/599,7524/6137 is 4567068
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 6137
List of positive integer factors of 6137 that divides 6137 without a remainder.
1,17,19,323,361,6137
Greatest Common Factor
We found the factors 599,6137 . The biggest common factor number is the GCF number.
So the greatest common factor 599,6137 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 607/599, 7524/6137?
Answer: LCM of Numerators as per given numbers 607/599, 7524/6137 is
LCM of Numerators i.e. for 607,7524 is 4567068
GCF of denominators i.e. for 599,6137 is 1.
Thus, LCM of Fractions is 4567068.Finally, LCM of Fractions for 607/599, 7524/6137 is 4567068.