Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/204, 58/255, 300/133 quickly i.e. 200100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/204, 58/255, 300/133 is 200100.
LCM(69/204, 58/255, 300/133) = 200100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/204,58/255,300/133
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 69,58,300
Least Common Multiple of Numerators i.e. LCM of 69,58,300 is 200100.
GCF of Denominators means GCF of 204,255,133 as per the given fractions.
GCF of 204,255,133 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,58,300
2 | 69, 58, 300 |
3 | 69, 29, 150 |
23, 29, 50 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 29 x 50 = 200100
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 69,58,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,58,300) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(69,58,300) x common factors =1 x 6 = 6
LCM(69,58,300) = ( 69 × 58 × 300 ) / 6
LCM(69,58,300) = 1200600 / 6
LCM(69,58,300) = 200100
Lets's calculate GCF of 204,255,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200100/1
Therefore the LCM of Fractions 69/204,58/255,300/133 is 200100
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Greatest Common Factor
We found the factors 204,255,133 . The biggest common factor number is the GCF number.
So the greatest common factor 204,255,133 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 69/204, 58/255, 300/133?
Answer: LCM of Numerators as per given numbers 69/204, 58/255, 300/133 is
LCM of Numerators i.e. for 69,58,300 is 200100
GCF of denominators i.e. for 204,255,133 is 1.
Thus, LCM of Fractions is 200100.Finally, LCM of Fractions for 69/204, 58/255, 300/133 is 200100.