Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 813/775, 7672/589 quickly i.e. 6237336/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 813/775, 7672/589 is 6237336/31.
LCM(813/775, 7672/589) = 6237336/31
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 813/775,7672/589
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 813,7672
Least Common Multiple of Numerators i.e. LCM of 813,7672 is 6237336.
GCF of Denominators means GCF of 775,589 as per the given fractions.
GCF of 775,589 is 31 as it is the largest common factor for these numbers.
Lets's calculate LCM of 813,7672
Given numbers has no common factors except 1. So, there LCM is their product i.e 6237336
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 813,7672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,7672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,7672) x common factors =1 x 1 = 1
LCM(813,7672) = ( 813 × 7672 ) / 1
LCM(813,7672) = 6237336 / 1
LCM(813,7672) = 6237336
Lets's calculate GCF of 775,589
31 | 775, 589 |
25, 19 |
∴ So the GCF of the given numbers is 31 = 31
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6237336/31
Therefore the LCM of Fractions 813/775,7672/589 is 6237336/31
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 775,589 . The biggest common factor number is the GCF number.
So the greatest common factor 775,589 is 31.
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 813/775, 7672/589?
Answer: LCM of Numerators as per given numbers 813/775, 7672/589 is
LCM of Numerators i.e. for 813,7672 is 6237336
GCF of denominators i.e. for 775,589 is 31.
Thus, LCM of Fractions is 6237336/31.Finally, LCM of Fractions for 813/775, 7672/589 is 6237336/31.