Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/598, 35/465, 450/174 quickly i.e. 53550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/598, 35/465, 450/174 is 53550.
LCM(17/598, 35/465, 450/174) = 53550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/598,35/465,450/174
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 17,35,450
Least Common Multiple of Numerators i.e. LCM of 17,35,450 is 53550.
GCF of Denominators means GCF of 598,465,174 as per the given fractions.
GCF of 598,465,174 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,35,450
5 | 17, 35, 450 |
17, 7, 90 |
∴ So the LCM of the given numbers is 5 x 17 x 7 x 90 = 53550
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 17,35,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,35,450) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(17,35,450) x common factors =1 x 5 = 5
LCM(17,35,450) = ( 17 × 35 × 450 ) / 5
LCM(17,35,450) = 267750 / 5
LCM(17,35,450) = 53550
Lets's calculate GCF of 598,465,174
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53550/1
Therefore the LCM of Fractions 17/598,35/465,450/174 is 53550
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 598,465,174 . The biggest common factor number is the GCF number.
So the greatest common factor 598,465,174 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 17/598, 35/465, 450/174?
Answer: LCM of Numerators as per given numbers 17/598, 35/465, 450/174 is
LCM of Numerators i.e. for 17,35,450 is 53550
GCF of denominators i.e. for 598,465,174 is 1.
Thus, LCM of Fractions is 53550.Finally, LCM of Fractions for 17/598, 35/465, 450/174 is 53550.