Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 478/57, 919/60, 932/45 quickly i.e. 204705412/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 478/57, 919/60, 932/45 is 204705412/3.
LCM(478/57, 919/60, 932/45) = 204705412/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 478/57,919/60,932/45
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 478,919,932
Least Common Multiple of Numerators i.e. LCM of 478,919,932 is 204705412.
GCF of Denominators means GCF of 57,60,45 as per the given fractions.
GCF of 57,60,45 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 478,919,932
2 | 478, 919, 932 |
239, 919, 466 |
∴ So the LCM of the given numbers is 2 x 239 x 919 x 466 = 204705412
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 478,919,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,919,932) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(478,919,932) x common factors =1 x 2 = 2
LCM(478,919,932) = ( 478 × 919 × 932 ) / 2
LCM(478,919,932) = 409410824 / 2
LCM(478,919,932) = 204705412
Lets's calculate GCF of 57,60,45
3 | 57, 60, 45 |
19, 20, 15 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204705412/3
Therefore the LCM of Fractions 478/57,919/60,932/45 is 204705412/3
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Greatest Common Factor
We found the factors 57,60,45 . The biggest common factor number is the GCF number.
So the greatest common factor 57,60,45 is 3.
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 478/57, 919/60, 932/45?
Answer: LCM of Numerators as per given numbers 478/57, 919/60, 932/45 is
LCM of Numerators i.e. for 478,919,932 is 204705412
GCF of denominators i.e. for 57,60,45 is 3.
Thus, LCM of Fractions is 204705412/3.Finally, LCM of Fractions for 478/57, 919/60, 932/45 is 204705412/3.