Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 588/21, 164/4122 quickly i.e. 8036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 588/21, 164/4122 is 8036.
LCM(588/21, 164/4122) = 8036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 588/21,164/4122
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 588,164
Least Common Multiple of Numerators i.e. LCM of 588,164 is 24108.
GCF of Denominators means GCF of 21,4122 as per the given fractions.
GCF of 21,4122 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 588,164
2 | 588, 164 |
2 | 294, 82 |
147, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 147 x 41 = 24108
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 588,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,164) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(588,164) x common factors =4 x 1 = 4
LCM(588,164) = ( 588 × 164 ) / 4
LCM(588,164) = 96432 / 4
LCM(588,164) = 24108
Lets's calculate GCF of 21,4122
3 | 21, 4122 |
7, 1374 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24108/3
Therefore the LCM of Fractions 588/21,164/4122 is 8036
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 4122
List of positive integer factors of 4122 that divides 4122 without a remainder.
1,2,3,6,9,18,229,458,687,1374,2061,4122
Greatest Common Factor
We found the factors 21,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 21,4122 is 3.
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 588/21, 164/4122?
Answer: LCM of Numerators as per given numbers 588/21, 164/4122 is
LCM of Numerators i.e. for 588,164 is 24108
GCF of denominators i.e. for 21,4122 is 3.
Thus, LCM of Fractions is 8036.Finally, LCM of Fractions for 588/21, 164/4122 is 8036.