Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8231/620, 1666/2284 quickly i.e. 13712846/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8231/620, 1666/2284 is 13712846/4.
LCM(8231/620, 1666/2284) = 13712846/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8231/620,1666/2284
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 8231,1666
Least Common Multiple of Numerators i.e. LCM of 8231,1666 is 13712846.
GCF of Denominators means GCF of 620,2284 as per the given fractions.
GCF of 620,2284 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8231,1666
Given numbers has no common factors except 1. So, there LCM is their product i.e 13712846
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 8231,1666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8231,1666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8231,1666) x common factors =1 x 1 = 1
LCM(8231,1666) = ( 8231 × 1666 ) / 1
LCM(8231,1666) = 13712846 / 1
LCM(8231,1666) = 13712846
Lets's calculate GCF of 620,2284
2 | 620, 2284 |
2 | 310, 1142 |
155, 571 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13712846/4
Therefore the LCM of Fractions 8231/620,1666/2284 is 13712846/4
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 2284
List of positive integer factors of 2284 that divides 2284 without a remainder.
1,2,4,571,1142,2284
Greatest Common Factor
We found the factors 620,2284 . The biggest common factor number is the GCF number.
So the greatest common factor 620,2284 is 4.
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 8231/620, 1666/2284?
Answer: LCM of Numerators as per given numbers 8231/620, 1666/2284 is
LCM of Numerators i.e. for 8231,1666 is 13712846
GCF of denominators i.e. for 620,2284 is 4.
Thus, LCM of Fractions is 13712846/4.Finally, LCM of Fractions for 8231/620, 1666/2284 is 13712846/4.