Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/638, 46/839, 339/150 quickly i.e. 31188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/638, 46/839, 339/150 is 31188.
LCM(12/638, 46/839, 339/150) = 31188
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/638,46/839,339/150
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 12,46,339
Least Common Multiple of Numerators i.e. LCM of 12,46,339 is 31188.
GCF of Denominators means GCF of 638,839,150 as per the given fractions.
GCF of 638,839,150 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,46,339
2 | 12, 46, 339 |
3 | 6, 23, 339 |
2, 23, 113 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 23 x 113 = 31188
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 12,46,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,46,339) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,46,339) x common factors =1 x 6 = 6
LCM(12,46,339) = ( 12 × 46 × 339 ) / 6
LCM(12,46,339) = 187128 / 6
LCM(12,46,339) = 31188
Lets's calculate GCF of 638,839,150
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31188/1
Therefore the LCM of Fractions 12/638,46/839,339/150 is 31188
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 638,839,150 . The biggest common factor number is the GCF number.
So the greatest common factor 638,839,150 is 1.
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 12/638, 46/839, 339/150?
Answer: LCM of Numerators as per given numbers 12/638, 46/839, 339/150 is
LCM of Numerators i.e. for 12,46,339 is 31188
GCF of denominators i.e. for 638,839,150 is 1.
Thus, LCM of Fractions is 31188.Finally, LCM of Fractions for 12/638, 46/839, 339/150 is 31188.