Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 317/29, 601/290 quickly i.e. 190517/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 317/29, 601/290 is 190517/29.
LCM(317/29, 601/290) = 190517/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 317/29,601/290
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 317,601
Least Common Multiple of Numerators i.e. LCM of 317,601 is 190517.
GCF of Denominators means GCF of 29,290 as per the given fractions.
GCF of 29,290 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 317,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 190517
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 317,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,601) x common factors =1 x 1 = 1
LCM(317,601) = ( 317 × 601 ) / 1
LCM(317,601) = 190517 / 1
LCM(317,601) = 190517
Lets's calculate GCF of 29,290
29 | 29, 290 |
1, 10 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190517/29
Therefore the LCM of Fractions 317/29,601/290 is 190517/29
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 29,290 . The biggest common factor number is the GCF number.
So the greatest common factor 29,290 is 29.
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 317/29, 601/290?
Answer: LCM of Numerators as per given numbers 317/29, 601/290 is
LCM of Numerators i.e. for 317,601 is 190517
GCF of denominators i.e. for 29,290 is 29.
Thus, LCM of Fractions is 190517/29.Finally, LCM of Fractions for 317/29, 601/290 is 190517/29.