Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/156, 5299/4168 quickly i.e. 15897 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/156, 5299/4168 is 15897.
LCM(12/156, 5299/4168) = 15897
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/156,5299/4168
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 12,5299
Least Common Multiple of Numerators i.e. LCM of 12,5299 is 63588.
GCF of Denominators means GCF of 156,4168 as per the given fractions.
GCF of 156,4168 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,5299
Given numbers has no common factors except 1. So, there LCM is their product i.e 63588
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 12,5299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,5299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,5299) x common factors =1 x 1 = 1
LCM(12,5299) = ( 12 × 5299 ) / 1
LCM(12,5299) = 63588 / 1
LCM(12,5299) = 63588
Lets's calculate GCF of 156,4168
2 | 156, 4168 |
2 | 78, 2084 |
39, 1042 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63588/4
Therefore the LCM of Fractions 12/156,5299/4168 is 15897
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 4168
List of positive integer factors of 4168 that divides 4168 without a remainder.
1,2,4,8,521,1042,2084,4168
Greatest Common Factor
We found the factors 156,4168 . The biggest common factor number is the GCF number.
So the greatest common factor 156,4168 is 4.
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 12/156, 5299/4168?
Answer: LCM of Numerators as per given numbers 12/156, 5299/4168 is
LCM of Numerators i.e. for 12,5299 is 63588
GCF of denominators i.e. for 156,4168 is 4.
Thus, LCM of Fractions is 15897.Finally, LCM of Fractions for 12/156, 5299/4168 is 15897.