Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 607/40, 794/6936 quickly i.e. 481958/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 607/40, 794/6936 is 481958/8.
LCM(607/40, 794/6936) = 481958/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 607/40,794/6936
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 607,794
Least Common Multiple of Numerators i.e. LCM of 607,794 is 481958.
GCF of Denominators means GCF of 40,6936 as per the given fractions.
GCF of 40,6936 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 607,794
Given numbers has no common factors except 1. So, there LCM is their product i.e 481958
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 607,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,794) x common factors =1 x 1 = 1
LCM(607,794) = ( 607 × 794 ) / 1
LCM(607,794) = 481958 / 1
LCM(607,794) = 481958
Lets's calculate GCF of 40,6936
2 | 40, 6936 |
2 | 20, 3468 |
2 | 10, 1734 |
5, 867 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 481958/8
Therefore the LCM of Fractions 607/40,794/6936 is 481958/8
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 6936
List of positive integer factors of 6936 that divides 6936 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936
Greatest Common Factor
We found the factors 40,6936 . The biggest common factor number is the GCF number.
So the greatest common factor 40,6936 is 8.
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 607/40, 794/6936?
Answer: LCM of Numerators as per given numbers 607/40, 794/6936 is
LCM of Numerators i.e. for 607,794 is 481958
GCF of denominators i.e. for 40,6936 is 8.
Thus, LCM of Fractions is 481958/8.Finally, LCM of Fractions for 607/40, 794/6936 is 481958/8.