Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/10, 593/73, 491/474 quickly i.e. 12228846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/10, 593/73, 491/474 is 12228846.
LCM(42/10, 593/73, 491/474) = 12228846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/10,593/73,491/474
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 42,593,491
Least Common Multiple of Numerators i.e. LCM of 42,593,491 is 12228846.
GCF of Denominators means GCF of 10,73,474 as per the given fractions.
GCF of 10,73,474 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,593,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 12228846
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 42,593,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,593,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,593,491) x common factors =1 x 1 = 1
LCM(42,593,491) = ( 42 × 593 × 491 ) / 1
LCM(42,593,491) = 12228846 / 1
LCM(42,593,491) = 12228846
Lets's calculate GCF of 10,73,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12228846/1
Therefore the LCM of Fractions 42/10,593/73,491/474 is 12228846
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 10,73,474 . The biggest common factor number is the GCF number.
So the greatest common factor 10,73,474 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 42/10, 593/73, 491/474?
Answer: LCM of Numerators as per given numbers 42/10, 593/73, 491/474 is
LCM of Numerators i.e. for 42,593,491 is 12228846
GCF of denominators i.e. for 10,73,474 is 1.
Thus, LCM of Fractions is 12228846.Finally, LCM of Fractions for 42/10, 593/73, 491/474 is 12228846.