Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/17, 9/55, 1/11, 17/464 quickly i.e. 765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/17, 9/55, 1/11, 17/464 is 765.
LCM(5/17, 9/55, 1/11, 17/464) = 765
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/17,9/55,1/11,17/464
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 5,9,1,17
Least Common Multiple of Numerators i.e. LCM of 5,9,1,17 is 765.
GCF of Denominators means GCF of 17,55,11,464 as per the given fractions.
GCF of 17,55,11,464 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,9,1,17
Given numbers has no common factors except 1. So, there LCM is their product i.e 765
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 5,9,1,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,9,1,17) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,9,1,17) x common factors =1 x 1 = 1
LCM(5,9,1,17) = ( 5 × 9 × 1 × 17 ) / 1
LCM(5,9,1,17) = 765 / 1
LCM(5,9,1,17) = 765
Lets's calculate GCF of 17,55,11,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 765/1
Therefore the LCM of Fractions 5/17,9/55,1/11,17/464 is 765
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 17,55,11,464 . The biggest common factor number is the GCF number.
So the greatest common factor 17,55,11,464 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 5/17, 9/55, 1/11, 17/464?
Answer: LCM of Numerators as per given numbers 5/17, 9/55, 1/11, 17/464 is
LCM of Numerators i.e. for 5,9,1,17 is 765
GCF of denominators i.e. for 17,55,11,464 is 1.
Thus, LCM of Fractions is 765.Finally, LCM of Fractions for 5/17, 9/55, 1/11, 17/464 is 765.