Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 857/813, 1133/7818 quickly i.e. 970981/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 857/813, 1133/7818 is 970981/3.
LCM(857/813, 1133/7818) = 970981/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 857/813,1133/7818
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 857,1133
Least Common Multiple of Numerators i.e. LCM of 857,1133 is 970981.
GCF of Denominators means GCF of 813,7818 as per the given fractions.
GCF of 813,7818 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 857,1133
Given numbers has no common factors except 1. So, there LCM is their product i.e 970981
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 857,1133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,1133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,1133) x common factors =1 x 1 = 1
LCM(857,1133) = ( 857 × 1133 ) / 1
LCM(857,1133) = 970981 / 1
LCM(857,1133) = 970981
Lets's calculate GCF of 813,7818
3 | 813, 7818 |
271, 2606 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 970981/3
Therefore the LCM of Fractions 857/813,1133/7818 is 970981/3
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 7818
List of positive integer factors of 7818 that divides 7818 without a remainder.
1,2,3,6,1303,2606,3909,7818
Greatest Common Factor
We found the factors 813,7818 . The biggest common factor number is the GCF number.
So the greatest common factor 813,7818 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 857/813, 1133/7818?
Answer: LCM of Numerators as per given numbers 857/813, 1133/7818 is
LCM of Numerators i.e. for 857,1133 is 970981
GCF of denominators i.e. for 813,7818 is 3.
Thus, LCM of Fractions is 970981/3.Finally, LCM of Fractions for 857/813, 1133/7818 is 970981/3.