Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3238/964, 8095/886 quickly i.e. 8095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3238/964, 8095/886 is 8095.
LCM(3238/964, 8095/886) = 8095
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3238/964,8095/886
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 3238,8095
Least Common Multiple of Numerators i.e. LCM of 3238,8095 is 16190.
GCF of Denominators means GCF of 964,886 as per the given fractions.
GCF of 964,886 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3238,8095
1619 | 3238, 8095 |
2, 5 |
∴ So the LCM of the given numbers is 1619 x 2 x 5 = 16190
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 3238,8095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3238,8095) = 1619
common factors(in case of two or more numbers have common factors) = 1
GCF(3238,8095) x common factors =1619 x 1 = 1619
LCM(3238,8095) = ( 3238 × 8095 ) / 1619
LCM(3238,8095) = 26211610 / 1619
LCM(3238,8095) = 16190
Lets's calculate GCF of 964,886
2 | 964, 886 |
482, 443 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16190/2
Therefore the LCM of Fractions 3238/964,8095/886 is 8095
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 964,886 . The biggest common factor number is the GCF number.
So the greatest common factor 964,886 is 2.
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 3238/964, 8095/886?
Answer: LCM of Numerators as per given numbers 3238/964, 8095/886 is
LCM of Numerators i.e. for 3238,8095 is 16190
GCF of denominators i.e. for 964,886 is 2.
Thus, LCM of Fractions is 8095.Finally, LCM of Fractions for 3238/964, 8095/886 is 8095.