Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 399/531, 159/638, 954/938 quickly i.e. 126882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 399/531, 159/638, 954/938 is 126882.
LCM(399/531, 159/638, 954/938) = 126882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 399/531,159/638,954/938
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 399,159,954
Least Common Multiple of Numerators i.e. LCM of 399,159,954 is 126882.
GCF of Denominators means GCF of 531,638,938 as per the given fractions.
GCF of 531,638,938 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 399,159,954
3 | 399, 159, 954 |
53 | 133, 53, 318 |
133, 1, 6 |
∴ So the LCM of the given numbers is 3 x 53 x 133 x 1 x 6 = 126882
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 399,159,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,159,954) = 3
common factors(in case of two or more numbers have common factors) = 159
GCF(399,159,954) x common factors =3 x 159 = 477
LCM(399,159,954) = ( 399 × 159 × 954 ) / 477
LCM(399,159,954) = 60522714 / 477
LCM(399,159,954) = 126882
Lets's calculate GCF of 531,638,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126882/1
Therefore the LCM of Fractions 399/531,159/638,954/938 is 126882
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
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 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 531,638,938 . The biggest common factor number is the GCF number.
So the greatest common factor 531,638,938 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 399/531, 159/638, 954/938?
Answer: LCM of Numerators as per given numbers 399/531, 159/638, 954/938 is
LCM of Numerators i.e. for 399,159,954 is 126882
GCF of denominators i.e. for 531,638,938 is 1.
Thus, LCM of Fractions is 126882.Finally, LCM of Fractions for 399/531, 159/638, 954/938 is 126882.