Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 610/888, 6021/5059 quickly i.e. 3672810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 610/888, 6021/5059 is 3672810.
LCM(610/888, 6021/5059) = 3672810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 610/888,6021/5059
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 610,6021
Least Common Multiple of Numerators i.e. LCM of 610,6021 is 3672810.
GCF of Denominators means GCF of 888,5059 as per the given fractions.
GCF of 888,5059 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 610,6021
Given numbers has no common factors except 1. So, there LCM is their product i.e 3672810
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 610,6021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,6021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(610,6021) x common factors =1 x 1 = 1
LCM(610,6021) = ( 610 × 6021 ) / 1
LCM(610,6021) = 3672810 / 1
LCM(610,6021) = 3672810
Lets's calculate GCF of 888,5059
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3672810/1
Therefore the LCM of Fractions 610/888,6021/5059 is 3672810
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 5059
List of positive integer factors of 5059 that divides 5059 without a remainder.
1,5059
Greatest Common Factor
We found the factors 888,5059 . The biggest common factor number is the GCF number.
So the greatest common factor 888,5059 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 610/888, 6021/5059?
Answer: LCM of Numerators as per given numbers 610/888, 6021/5059 is
LCM of Numerators i.e. for 610,6021 is 3672810
GCF of denominators i.e. for 888,5059 is 1.
Thus, LCM of Fractions is 3672810.Finally, LCM of Fractions for 610/888, 6021/5059 is 3672810.