Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/947, 823/963, 426/887 quickly i.e. 18581694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/947, 823/963, 426/887 is 18581694.
LCM(159/947, 823/963, 426/887) = 18581694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/947,823/963,426/887
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 159,823,426
Least Common Multiple of Numerators i.e. LCM of 159,823,426 is 18581694.
GCF of Denominators means GCF of 947,963,887 as per the given fractions.
GCF of 947,963,887 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,823,426
3 | 159, 823, 426 |
53, 823, 142 |
∴ So the LCM of the given numbers is 3 x 53 x 823 x 142 = 18581694
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 159,823,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,823,426) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(159,823,426) x common factors =1 x 3 = 3
LCM(159,823,426) = ( 159 × 823 × 426 ) / 3
LCM(159,823,426) = 55745082 / 3
LCM(159,823,426) = 18581694
Lets's calculate GCF of 947,963,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18581694/1
Therefore the LCM of Fractions 159/947,823/963,426/887 is 18581694
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Greatest Common Factor
We found the factors 947,963,887 . The biggest common factor number is the GCF number.
So the greatest common factor 947,963,887 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 159/947, 823/963, 426/887?
Answer: LCM of Numerators as per given numbers 159/947, 823/963, 426/887 is
LCM of Numerators i.e. for 159,823,426 is 18581694
GCF of denominators i.e. for 947,963,887 is 1.
Thus, LCM of Fractions is 18581694.Finally, LCM of Fractions for 159/947, 823/963, 426/887 is 18581694.