Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3628/382, 4261/6091 quickly i.e. 15458908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3628/382, 4261/6091 is 15458908.
LCM(3628/382, 4261/6091) = 15458908
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3628/382,4261/6091
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 3628,4261
Least Common Multiple of Numerators i.e. LCM of 3628,4261 is 15458908.
GCF of Denominators means GCF of 382,6091 as per the given fractions.
GCF of 382,6091 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3628,4261
Given numbers has no common factors except 1. So, there LCM is their product i.e 15458908
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 3628,4261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3628,4261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3628,4261) x common factors =1 x 1 = 1
LCM(3628,4261) = ( 3628 × 4261 ) / 1
LCM(3628,4261) = 15458908 / 1
LCM(3628,4261) = 15458908
Lets's calculate GCF of 382,6091
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15458908/1
Therefore the LCM of Fractions 3628/382,4261/6091 is 15458908
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 6091
List of positive integer factors of 6091 that divides 6091 without a remainder.
1,6091
Greatest Common Factor
We found the factors 382,6091 . The biggest common factor number is the GCF number.
So the greatest common factor 382,6091 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 3628/382, 4261/6091?
Answer: LCM of Numerators as per given numbers 3628/382, 4261/6091 is
LCM of Numerators i.e. for 3628,4261 is 15458908
GCF of denominators i.e. for 382,6091 is 1.
Thus, LCM of Fractions is 15458908.Finally, LCM of Fractions for 3628/382, 4261/6091 is 15458908.