Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 600/90, 193/81, 214/172 quickly i.e. 12390600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 600/90, 193/81, 214/172 is 12390600.
LCM(600/90, 193/81, 214/172) = 12390600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 600/90,193/81,214/172
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 600,193,214
Least Common Multiple of Numerators i.e. LCM of 600,193,214 is 12390600.
GCF of Denominators means GCF of 90,81,172 as per the given fractions.
GCF of 90,81,172 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 600,193,214
2 | 600, 193, 214 |
300, 193, 107 |
∴ So the LCM of the given numbers is 2 x 300 x 193 x 107 = 12390600
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 600,193,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,193,214) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(600,193,214) x common factors =1 x 2 = 2
LCM(600,193,214) = ( 600 × 193 × 214 ) / 2
LCM(600,193,214) = 24781200 / 2
LCM(600,193,214) = 12390600
Lets's calculate GCF of 90,81,172
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12390600/1
Therefore the LCM of Fractions 600/90,193/81,214/172 is 12390600
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 90,81,172 . The biggest common factor number is the GCF number.
So the greatest common factor 90,81,172 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 600/90, 193/81, 214/172?
Answer: LCM of Numerators as per given numbers 600/90, 193/81, 214/172 is
LCM of Numerators i.e. for 600,193,214 is 12390600
GCF of denominators i.e. for 90,81,172 is 1.
Thus, LCM of Fractions is 12390600.Finally, LCM of Fractions for 600/90, 193/81, 214/172 is 12390600.