Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5889/58, 2564/833 quickly i.e. 15099396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5889/58, 2564/833 is 15099396.
LCM(5889/58, 2564/833) = 15099396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5889/58,2564/833
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 5889,2564
Least Common Multiple of Numerators i.e. LCM of 5889,2564 is 15099396.
GCF of Denominators means GCF of 58,833 as per the given fractions.
GCF of 58,833 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5889,2564
Given numbers has no common factors except 1. So, there LCM is their product i.e 15099396
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 5889,2564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5889,2564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5889,2564) x common factors =1 x 1 = 1
LCM(5889,2564) = ( 5889 × 2564 ) / 1
LCM(5889,2564) = 15099396 / 1
LCM(5889,2564) = 15099396
Lets's calculate GCF of 58,833
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15099396/1
Therefore the LCM of Fractions 5889/58,2564/833 is 15099396
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 58,833 . The biggest common factor number is the GCF number.
So the greatest common factor 58,833 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 5889/58, 2564/833?
Answer: LCM of Numerators as per given numbers 5889/58, 2564/833 is
LCM of Numerators i.e. for 5889,2564 is 15099396
GCF of denominators i.e. for 58,833 is 1.
Thus, LCM of Fractions is 15099396.Finally, LCM of Fractions for 5889/58, 2564/833 is 15099396.