Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 713/911, 415/785 quickly i.e. 295895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 713/911, 415/785 is 295895.
LCM(713/911, 415/785) = 295895
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 713/911,415/785
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 713,415
Least Common Multiple of Numerators i.e. LCM of 713,415 is 295895.
GCF of Denominators means GCF of 911,785 as per the given fractions.
GCF of 911,785 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 713,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 295895
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 713,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,415) x common factors =1 x 1 = 1
LCM(713,415) = ( 713 × 415 ) / 1
LCM(713,415) = 295895 / 1
LCM(713,415) = 295895
Lets's calculate GCF of 911,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295895/1
Therefore the LCM of Fractions 713/911,415/785 is 295895
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 911,785 . The biggest common factor number is the GCF number.
So the greatest common factor 911,785 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 713/911, 415/785?
Answer: LCM of Numerators as per given numbers 713/911, 415/785 is
LCM of Numerators i.e. for 713,415 is 295895
GCF of denominators i.e. for 911,785 is 1.
Thus, LCM of Fractions is 295895.Finally, LCM of Fractions for 713/911, 415/785 is 295895.