Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 565/57, 917/9051 quickly i.e. 518105/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 565/57, 917/9051 is 518105/3.
LCM(565/57, 917/9051) = 518105/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 565/57,917/9051
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 565,917
Least Common Multiple of Numerators i.e. LCM of 565,917 is 518105.
GCF of Denominators means GCF of 57,9051 as per the given fractions.
GCF of 57,9051 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 565,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 518105
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 565,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,917) x common factors =1 x 1 = 1
LCM(565,917) = ( 565 × 917 ) / 1
LCM(565,917) = 518105 / 1
LCM(565,917) = 518105
Lets's calculate GCF of 57,9051
3 | 57, 9051 |
19, 3017 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518105/3
Therefore the LCM of Fractions 565/57,917/9051 is 518105/3
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 9051
List of positive integer factors of 9051 that divides 9051 without a remainder.
1,3,7,21,431,1293,3017,9051
Greatest Common Factor
We found the factors 57,9051 . The biggest common factor number is the GCF number.
So the greatest common factor 57,9051 is 3.
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 565/57, 917/9051?
Answer: LCM of Numerators as per given numbers 565/57, 917/9051 is
LCM of Numerators i.e. for 565,917 is 518105
GCF of denominators i.e. for 57,9051 is 3.
Thus, LCM of Fractions is 518105/3.Finally, LCM of Fractions for 565/57, 917/9051 is 518105/3.