Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 339/26, 431/1212 quickly i.e. 146109/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 339/26, 431/1212 is 146109/2.
LCM(339/26, 431/1212) = 146109/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 339/26,431/1212
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 339,431
Least Common Multiple of Numerators i.e. LCM of 339,431 is 146109.
GCF of Denominators means GCF of 26,1212 as per the given fractions.
GCF of 26,1212 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 339,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 146109
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 339,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,431) x common factors =1 x 1 = 1
LCM(339,431) = ( 339 × 431 ) / 1
LCM(339,431) = 146109 / 1
LCM(339,431) = 146109
Lets's calculate GCF of 26,1212
2 | 26, 1212 |
13, 606 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146109/2
Therefore the LCM of Fractions 339/26,431/1212 is 146109/2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 1212
List of positive integer factors of 1212 that divides 1212 without a remainder.
1,2,3,4,6,12,101,202,303,404,606,1212
Greatest Common Factor
We found the factors 26,1212 . The biggest common factor number is the GCF number.
So the greatest common factor 26,1212 is 2.
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 339/26, 431/1212?
Answer: LCM of Numerators as per given numbers 339/26, 431/1212 is
LCM of Numerators i.e. for 339,431 is 146109
GCF of denominators i.e. for 26,1212 is 2.
Thus, LCM of Fractions is 146109/2.Finally, LCM of Fractions for 339/26, 431/1212 is 146109/2.