Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 813/195, 8407/657 quickly i.e. 2278297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 813/195, 8407/657 is 2278297.
LCM(813/195, 8407/657) = 2278297
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 813/195,8407/657
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 813,8407
Least Common Multiple of Numerators i.e. LCM of 813,8407 is 6834891.
GCF of Denominators means GCF of 195,657 as per the given fractions.
GCF of 195,657 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 813,8407
Given numbers has no common factors except 1. So, there LCM is their product i.e 6834891
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 813,8407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,8407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,8407) x common factors =1 x 1 = 1
LCM(813,8407) = ( 813 × 8407 ) / 1
LCM(813,8407) = 6834891 / 1
LCM(813,8407) = 6834891
Lets's calculate GCF of 195,657
3 | 195, 657 |
65, 219 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6834891/3
Therefore the LCM of Fractions 813/195,8407/657 is 2278297
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 195,657 . The biggest common factor number is the GCF number.
So the greatest common factor 195,657 is 3.
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 813/195, 8407/657?
Answer: LCM of Numerators as per given numbers 813/195, 8407/657 is
LCM of Numerators i.e. for 813,8407 is 6834891
GCF of denominators i.e. for 195,657 is 3.
Thus, LCM of Fractions is 2278297.Finally, LCM of Fractions for 813/195, 8407/657 is 2278297.