Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/613, 88/867, 255/915 quickly i.e. 426360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/613, 88/867, 255/915 is 426360.
LCM(57/613, 88/867, 255/915) = 426360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/613,88/867,255/915
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 57,88,255
Least Common Multiple of Numerators i.e. LCM of 57,88,255 is 426360.
GCF of Denominators means GCF of 613,867,915 as per the given fractions.
GCF of 613,867,915 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,88,255
3 | 57, 88, 255 |
19, 88, 85 |
∴ So the LCM of the given numbers is 3 x 19 x 88 x 85 = 426360
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 57,88,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,88,255) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,88,255) x common factors =1 x 3 = 3
LCM(57,88,255) = ( 57 × 88 × 255 ) / 3
LCM(57,88,255) = 1279080 / 3
LCM(57,88,255) = 426360
Lets's calculate GCF of 613,867,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426360/1
Therefore the LCM of Fractions 57/613,88/867,255/915 is 426360
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 613,867,915 . The biggest common factor number is the GCF number.
So the greatest common factor 613,867,915 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 57/613, 88/867, 255/915?
Answer: LCM of Numerators as per given numbers 57/613, 88/867, 255/915 is
LCM of Numerators i.e. for 57,88,255 is 426360
GCF of denominators i.e. for 613,867,915 is 1.
Thus, LCM of Fractions is 426360.Finally, LCM of Fractions for 57/613, 88/867, 255/915 is 426360.