Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4183/872, 9926/3587 quickly i.e. 41520458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4183/872, 9926/3587 is 41520458.
LCM(4183/872, 9926/3587) = 41520458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4183/872,9926/3587
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 4183,9926
Least Common Multiple of Numerators i.e. LCM of 4183,9926 is 41520458.
GCF of Denominators means GCF of 872,3587 as per the given fractions.
GCF of 872,3587 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4183,9926
Given numbers has no common factors except 1. So, there LCM is their product i.e 41520458
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 4183,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4183,9926) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4183,9926) x common factors =1 x 1 = 1
LCM(4183,9926) = ( 4183 × 9926 ) / 1
LCM(4183,9926) = 41520458 / 1
LCM(4183,9926) = 41520458
Lets's calculate GCF of 872,3587
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41520458/1
Therefore the LCM of Fractions 4183/872,9926/3587 is 41520458
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 3587
List of positive integer factors of 3587 that divides 3587 without a remainder.
1,17,211,3587
Greatest Common Factor
We found the factors 872,3587 . The biggest common factor number is the GCF number.
So the greatest common factor 872,3587 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 4183/872, 9926/3587?
Answer: LCM of Numerators as per given numbers 4183/872, 9926/3587 is
LCM of Numerators i.e. for 4183,9926 is 41520458
GCF of denominators i.e. for 872,3587 is 1.
Thus, LCM of Fractions is 41520458.Finally, LCM of Fractions for 4183/872, 9926/3587 is 41520458.