Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2215/733, 3871/1807 quickly i.e. 8574265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2215/733, 3871/1807 is 8574265.
LCM(2215/733, 3871/1807) = 8574265
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2215/733,3871/1807
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 2215,3871
Least Common Multiple of Numerators i.e. LCM of 2215,3871 is 8574265.
GCF of Denominators means GCF of 733,1807 as per the given fractions.
GCF of 733,1807 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2215,3871
Given numbers has no common factors except 1. So, there LCM is their product i.e 8574265
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 2215,3871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2215,3871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2215,3871) x common factors =1 x 1 = 1
LCM(2215,3871) = ( 2215 × 3871 ) / 1
LCM(2215,3871) = 8574265 / 1
LCM(2215,3871) = 8574265
Lets's calculate GCF of 733,1807
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8574265/1
Therefore the LCM of Fractions 2215/733,3871/1807 is 8574265
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 1807
List of positive integer factors of 1807 that divides 1807 without a remainder.
1,13,139,1807
Greatest Common Factor
We found the factors 733,1807 . The biggest common factor number is the GCF number.
So the greatest common factor 733,1807 is 1.
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 2215/733, 3871/1807?
Answer: LCM of Numerators as per given numbers 2215/733, 3871/1807 is
LCM of Numerators i.e. for 2215,3871 is 8574265
GCF of denominators i.e. for 733,1807 is 1.
Thus, LCM of Fractions is 8574265.Finally, LCM of Fractions for 2215/733, 3871/1807 is 8574265.