Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8486/723, 9551/9387 quickly i.e. 81049786/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8486/723, 9551/9387 is 81049786/3.
LCM(8486/723, 9551/9387) = 81049786/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8486/723,9551/9387
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 8486,9551
Least Common Multiple of Numerators i.e. LCM of 8486,9551 is 81049786.
GCF of Denominators means GCF of 723,9387 as per the given fractions.
GCF of 723,9387 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8486,9551
Given numbers has no common factors except 1. So, there LCM is their product i.e 81049786
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 8486,9551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8486,9551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8486,9551) x common factors =1 x 1 = 1
LCM(8486,9551) = ( 8486 × 9551 ) / 1
LCM(8486,9551) = 81049786 / 1
LCM(8486,9551) = 81049786
Lets's calculate GCF of 723,9387
3 | 723, 9387 |
241, 3129 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81049786/3
Therefore the LCM of Fractions 8486/723,9551/9387 is 81049786/3
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 9387
List of positive integer factors of 9387 that divides 9387 without a remainder.
1,3,7,9,21,63,149,447,1043,1341,3129,9387
Greatest Common Factor
We found the factors 723,9387 . The biggest common factor number is the GCF number.
So the greatest common factor 723,9387 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 8486/723, 9551/9387?
Answer: LCM of Numerators as per given numbers 8486/723, 9551/9387 is
LCM of Numerators i.e. for 8486,9551 is 81049786
GCF of denominators i.e. for 723,9387 is 3.
Thus, LCM of Fractions is 81049786/3.Finally, LCM of Fractions for 8486/723, 9551/9387 is 81049786/3.