Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 166/30, 606/4155 quickly i.e. 50298/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 166/30, 606/4155 is 50298/15.
LCM(166/30, 606/4155) = 50298/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 166/30,606/4155
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 166,606
Least Common Multiple of Numerators i.e. LCM of 166,606 is 50298.
GCF of Denominators means GCF of 30,4155 as per the given fractions.
GCF of 30,4155 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 166,606
2 | 166, 606 |
83, 303 |
∴ So the LCM of the given numbers is 2 x 83 x 303 = 50298
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 166,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,606) x common factors =2 x 1 = 2
LCM(166,606) = ( 166 × 606 ) / 2
LCM(166,606) = 100596 / 2
LCM(166,606) = 50298
Lets's calculate GCF of 30,4155
3 | 30, 4155 |
5 | 10, 1385 |
2, 277 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50298/15
Therefore the LCM of Fractions 166/30,606/4155 is 50298/15
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 4155
List of positive integer factors of 4155 that divides 4155 without a remainder.
1,3,5,15,277,831,1385,4155
Greatest Common Factor
We found the factors 30,4155 . The biggest common factor number is the GCF number.
So the greatest common factor 30,4155 is 15.
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 166/30, 606/4155?
Answer: LCM of Numerators as per given numbers 166/30, 606/4155 is
LCM of Numerators i.e. for 166,606 is 50298
GCF of denominators i.e. for 30,4155 is 15.
Thus, LCM of Fractions is 50298/15.Finally, LCM of Fractions for 166/30, 606/4155 is 50298/15.