Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 583/10, 311/19, 652/478 quickly i.e. 118216076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 583/10, 311/19, 652/478 is 118216076.
LCM(583/10, 311/19, 652/478) = 118216076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 583/10,311/19,652/478
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 583,311,652
Least Common Multiple of Numerators i.e. LCM of 583,311,652 is 118216076.
GCF of Denominators means GCF of 10,19,478 as per the given fractions.
GCF of 10,19,478 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 583,311,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 118216076
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 583,311,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,311,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,311,652) x common factors =1 x 1 = 1
LCM(583,311,652) = ( 583 × 311 × 652 ) / 1
LCM(583,311,652) = 118216076 / 1
LCM(583,311,652) = 118216076
Lets's calculate GCF of 10,19,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118216076/1
Therefore the LCM of Fractions 583/10,311/19,652/478 is 118216076
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 10,19,478 . The biggest common factor number is the GCF number.
So the greatest common factor 10,19,478 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 583/10, 311/19, 652/478?
Answer: LCM of Numerators as per given numbers 583/10, 311/19, 652/478 is
LCM of Numerators i.e. for 583,311,652 is 118216076
GCF of denominators i.e. for 10,19,478 is 1.
Thus, LCM of Fractions is 118216076.Finally, LCM of Fractions for 583/10, 311/19, 652/478 is 118216076.