Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/603, 31/566, 73/820 quickly i.e. 9052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/603, 31/566, 73/820 is 9052.
LCM(4/603, 31/566, 73/820) = 9052
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/603,31/566,73/820
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 4,31,73
Least Common Multiple of Numerators i.e. LCM of 4,31,73 is 9052.
GCF of Denominators means GCF of 603,566,820 as per the given fractions.
GCF of 603,566,820 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,31,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 9052
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 4,31,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,31,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4,31,73) x common factors =1 x 1 = 1
LCM(4,31,73) = ( 4 × 31 × 73 ) / 1
LCM(4,31,73) = 9052 / 1
LCM(4,31,73) = 9052
Lets's calculate GCF of 603,566,820
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9052/1
Therefore the LCM of Fractions 4/603,31/566,73/820 is 9052
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 603,566,820 . The biggest common factor number is the GCF number.
So the greatest common factor 603,566,820 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 4/603, 31/566, 73/820?
Answer: LCM of Numerators as per given numbers 4/603, 31/566, 73/820 is
LCM of Numerators i.e. for 4,31,73 is 9052
GCF of denominators i.e. for 603,566,820 is 1.
Thus, LCM of Fractions is 9052.Finally, LCM of Fractions for 4/603, 31/566, 73/820 is 9052.