Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/915, 729/334, 159/320 quickly i.e. 386370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/915, 729/334, 159/320 is 386370.
LCM(90/915, 729/334, 159/320) = 386370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/915,729/334,159/320
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 90,729,159
Least Common Multiple of Numerators i.e. LCM of 90,729,159 is 386370.
GCF of Denominators means GCF of 915,334,320 as per the given fractions.
GCF of 915,334,320 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,729,159
3 | 90, 729, 159 |
3 | 30, 243, 53 |
10, 81, 53 |
∴ So the LCM of the given numbers is 3 x 3 x 10 x 81 x 53 = 386370
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 90,729,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,729,159) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(90,729,159) x common factors =3 x 9 = 27
LCM(90,729,159) = ( 90 × 729 × 159 ) / 27
LCM(90,729,159) = 10431990 / 27
LCM(90,729,159) = 386370
Lets's calculate GCF of 915,334,320
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386370/1
Therefore the LCM of Fractions 90/915,729/334,159/320 is 386370
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 915,334,320 . The biggest common factor number is the GCF number.
So the greatest common factor 915,334,320 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 90/915, 729/334, 159/320?
Answer: LCM of Numerators as per given numbers 90/915, 729/334, 159/320 is
LCM of Numerators i.e. for 90,729,159 is 386370
GCF of denominators i.e. for 915,334,320 is 1.
Thus, LCM of Fractions is 386370.Finally, LCM of Fractions for 90/915, 729/334, 159/320 is 386370.