Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 911/785, 7593/516 quickly i.e. 6917223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 911/785, 7593/516 is 6917223.
LCM(911/785, 7593/516) = 6917223
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 911/785,7593/516
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 911,7593
Least Common Multiple of Numerators i.e. LCM of 911,7593 is 6917223.
GCF of Denominators means GCF of 785,516 as per the given fractions.
GCF of 785,516 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 911,7593
Given numbers has no common factors except 1. So, there LCM is their product i.e 6917223
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 911,7593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,7593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,7593) x common factors =1 x 1 = 1
LCM(911,7593) = ( 911 × 7593 ) / 1
LCM(911,7593) = 6917223 / 1
LCM(911,7593) = 6917223
Lets's calculate GCF of 785,516
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6917223/1
Therefore the LCM of Fractions 911/785,7593/516 is 6917223
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 785,516 . The biggest common factor number is the GCF number.
So the greatest common factor 785,516 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 911/785, 7593/516?
Answer: LCM of Numerators as per given numbers 911/785, 7593/516 is
LCM of Numerators i.e. for 911,7593 is 6917223
GCF of denominators i.e. for 785,516 is 1.
Thus, LCM of Fractions is 6917223.Finally, LCM of Fractions for 911/785, 7593/516 is 6917223.