Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8610/80, 2146/670 quickly i.e. 923853 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8610/80, 2146/670 is 923853.
LCM(8610/80, 2146/670) = 923853
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8610/80,2146/670
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 8610,2146
Least Common Multiple of Numerators i.e. LCM of 8610,2146 is 9238530.
GCF of Denominators means GCF of 80,670 as per the given fractions.
GCF of 80,670 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8610,2146
2 | 8610, 2146 |
4305, 1073 |
∴ So the LCM of the given numbers is 2 x 4305 x 1073 = 9238530
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 8610,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8610,2146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8610,2146) x common factors =2 x 1 = 2
LCM(8610,2146) = ( 8610 × 2146 ) / 2
LCM(8610,2146) = 18477060 / 2
LCM(8610,2146) = 9238530
Lets's calculate GCF of 80,670
2 | 80, 670 |
5 | 40, 335 |
8, 67 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9238530/10
Therefore the LCM of Fractions 8610/80,2146/670 is 923853
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 80,670 . The biggest common factor number is the GCF number.
So the greatest common factor 80,670 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 8610/80, 2146/670?
Answer: LCM of Numerators as per given numbers 8610/80, 2146/670 is
LCM of Numerators i.e. for 8610,2146 is 9238530
GCF of denominators i.e. for 80,670 is 10.
Thus, LCM of Fractions is 923853.Finally, LCM of Fractions for 8610/80, 2146/670 is 923853.