Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8146/188, 4240/5013 quickly i.e. 17269520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8146/188, 4240/5013 is 17269520.
LCM(8146/188, 4240/5013) = 17269520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8146/188,4240/5013
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 8146,4240
Least Common Multiple of Numerators i.e. LCM of 8146,4240 is 17269520.
GCF of Denominators means GCF of 188,5013 as per the given fractions.
GCF of 188,5013 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8146,4240
2 | 8146, 4240 |
4073, 2120 |
∴ So the LCM of the given numbers is 2 x 4073 x 2120 = 17269520
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 8146,4240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8146,4240) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8146,4240) x common factors =2 x 1 = 2
LCM(8146,4240) = ( 8146 × 4240 ) / 2
LCM(8146,4240) = 34539040 / 2
LCM(8146,4240) = 17269520
Lets's calculate GCF of 188,5013
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17269520/1
Therefore the LCM of Fractions 8146/188,4240/5013 is 17269520
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 5013
List of positive integer factors of 5013 that divides 5013 without a remainder.
1,3,9,557,1671,5013
Greatest Common Factor
We found the factors 188,5013 . The biggest common factor number is the GCF number.
So the greatest common factor 188,5013 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 8146/188, 4240/5013?
Answer: LCM of Numerators as per given numbers 8146/188, 4240/5013 is
LCM of Numerators i.e. for 8146,4240 is 17269520
GCF of denominators i.e. for 188,5013 is 1.
Thus, LCM of Fractions is 17269520.Finally, LCM of Fractions for 8146/188, 4240/5013 is 17269520.