Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/399, 8831/1406 quickly i.e. 1404129/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/399, 8831/1406 is 1404129/19.
LCM(159/399, 8831/1406) = 1404129/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/399,8831/1406
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 159,8831
Least Common Multiple of Numerators i.e. LCM of 159,8831 is 1404129.
GCF of Denominators means GCF of 399,1406 as per the given fractions.
GCF of 399,1406 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,8831
Given numbers has no common factors except 1. So, there LCM is their product i.e 1404129
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 159,8831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,8831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,8831) x common factors =1 x 1 = 1
LCM(159,8831) = ( 159 × 8831 ) / 1
LCM(159,8831) = 1404129 / 1
LCM(159,8831) = 1404129
Lets's calculate GCF of 399,1406
19 | 399, 1406 |
21, 74 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1404129/19
Therefore the LCM of Fractions 159/399,8831/1406 is 1404129/19
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 1406
List of positive integer factors of 1406 that divides 1406 without a remainder.
1,2,19,37,38,74,703,1406
Greatest Common Factor
We found the factors 399,1406 . The biggest common factor number is the GCF number.
So the greatest common factor 399,1406 is 19.
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 159/399, 8831/1406?
Answer: LCM of Numerators as per given numbers 159/399, 8831/1406 is
LCM of Numerators i.e. for 159,8831 is 1404129
GCF of denominators i.e. for 399,1406 is 19.
Thus, LCM of Fractions is 1404129/19.Finally, LCM of Fractions for 159/399, 8831/1406 is 1404129/19.