Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9873/526, 8694/366 quickly i.e. 4768659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9873/526, 8694/366 is 4768659.
LCM(9873/526, 8694/366) = 4768659
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9873/526,8694/366
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 9873,8694
Least Common Multiple of Numerators i.e. LCM of 9873,8694 is 9537318.
GCF of Denominators means GCF of 526,366 as per the given fractions.
GCF of 526,366 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9873,8694
3 | 9873, 8694 |
3 | 3291, 2898 |
1097, 966 |
∴ So the LCM of the given numbers is 3 x 3 x 1097 x 966 = 9537318
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 9873,8694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9873,8694) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(9873,8694) x common factors =9 x 1 = 9
LCM(9873,8694) = ( 9873 × 8694 ) / 9
LCM(9873,8694) = 85835862 / 9
LCM(9873,8694) = 9537318
Lets's calculate GCF of 526,366
2 | 526, 366 |
263, 183 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9537318/2
Therefore the LCM of Fractions 9873/526,8694/366 is 4768659
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 526,366 . The biggest common factor number is the GCF number.
So the greatest common factor 526,366 is 2.
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 9873/526, 8694/366?
Answer: LCM of Numerators as per given numbers 9873/526, 8694/366 is
LCM of Numerators i.e. for 9873,8694 is 9537318
GCF of denominators i.e. for 526,366 is 2.
Thus, LCM of Fractions is 4768659.Finally, LCM of Fractions for 9873/526, 8694/366 is 4768659.