Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 109/12, 4164/102 quickly i.e. 75646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 109/12, 4164/102 is 75646.
LCM(109/12, 4164/102) = 75646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 109/12,4164/102
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 109,4164
Least Common Multiple of Numerators i.e. LCM of 109,4164 is 453876.
GCF of Denominators means GCF of 12,102 as per the given fractions.
GCF of 12,102 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 109,4164
Given numbers has no common factors except 1. So, there LCM is their product i.e 453876
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 109,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,4164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,4164) x common factors =1 x 1 = 1
LCM(109,4164) = ( 109 × 4164 ) / 1
LCM(109,4164) = 453876 / 1
LCM(109,4164) = 453876
Lets's calculate GCF of 12,102
2 | 12, 102 |
3 | 6, 51 |
2, 17 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453876/6
Therefore the LCM of Fractions 109/12,4164/102 is 75646
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 12,102 . The biggest common factor number is the GCF number.
So the greatest common factor 12,102 is 6.
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 109/12, 4164/102?
Answer: LCM of Numerators as per given numbers 109/12, 4164/102 is
LCM of Numerators i.e. for 109,4164 is 453876
GCF of denominators i.e. for 12,102 is 6.
Thus, LCM of Fractions is 75646.Finally, LCM of Fractions for 109/12, 4164/102 is 75646.