Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 813/610, 8474/8780 quickly i.e. 6889362/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 813/610, 8474/8780 is 6889362/10.
LCM(813/610, 8474/8780) = 6889362/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 813/610,8474/8780
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 813,8474
Least Common Multiple of Numerators i.e. LCM of 813,8474 is 6889362.
GCF of Denominators means GCF of 610,8780 as per the given fractions.
GCF of 610,8780 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 813,8474
Given numbers has no common factors except 1. So, there LCM is their product i.e 6889362
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 813,8474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,8474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,8474) x common factors =1 x 1 = 1
LCM(813,8474) = ( 813 × 8474 ) / 1
LCM(813,8474) = 6889362 / 1
LCM(813,8474) = 6889362
Lets's calculate GCF of 610,8780
2 | 610, 8780 |
5 | 305, 4390 |
61, 878 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6889362/10
Therefore the LCM of Fractions 813/610,8474/8780 is 6889362/10
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 8780
List of positive integer factors of 8780 that divides 8780 without a remainder.
1,2,4,5,10,20,439,878,1756,2195,4390,8780
Greatest Common Factor
We found the factors 610,8780 . The biggest common factor number is the GCF number.
So the greatest common factor 610,8780 is 10.
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 813/610, 8474/8780?
Answer: LCM of Numerators as per given numbers 813/610, 8474/8780 is
LCM of Numerators i.e. for 813,8474 is 6889362
GCF of denominators i.e. for 610,8780 is 10.
Thus, LCM of Fractions is 6889362/10.Finally, LCM of Fractions for 813/610, 8474/8780 is 6889362/10.