Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8236/411, 8859/8393 quickly i.e. 72962724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8236/411, 8859/8393 is 72962724.
LCM(8236/411, 8859/8393) = 72962724
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8236/411,8859/8393
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 8236,8859
Least Common Multiple of Numerators i.e. LCM of 8236,8859 is 72962724.
GCF of Denominators means GCF of 411,8393 as per the given fractions.
GCF of 411,8393 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8236,8859
Given numbers has no common factors except 1. So, there LCM is their product i.e 72962724
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 8236,8859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8236,8859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8236,8859) x common factors =1 x 1 = 1
LCM(8236,8859) = ( 8236 × 8859 ) / 1
LCM(8236,8859) = 72962724 / 1
LCM(8236,8859) = 72962724
Lets's calculate GCF of 411,8393
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72962724/1
Therefore the LCM of Fractions 8236/411,8859/8393 is 72962724
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 8393
List of positive integer factors of 8393 that divides 8393 without a remainder.
1,7,11,77,109,763,1199,8393
Greatest Common Factor
We found the factors 411,8393 . The biggest common factor number is the GCF number.
So the greatest common factor 411,8393 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 8236/411, 8859/8393?
Answer: LCM of Numerators as per given numbers 8236/411, 8859/8393 is
LCM of Numerators i.e. for 8236,8859 is 72962724
GCF of denominators i.e. for 411,8393 is 1.
Thus, LCM of Fractions is 72962724.Finally, LCM of Fractions for 8236/411, 8859/8393 is 72962724.