Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/474, 9487/3333 quickly i.e. 227688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/474, 9487/3333 is 227688.
LCM(72/474, 9487/3333) = 227688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/474,9487/3333
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 72,9487
Least Common Multiple of Numerators i.e. LCM of 72,9487 is 683064.
GCF of Denominators means GCF of 474,3333 as per the given fractions.
GCF of 474,3333 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,9487
Given numbers has no common factors except 1. So, there LCM is their product i.e 683064
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 72,9487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,9487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,9487) x common factors =1 x 1 = 1
LCM(72,9487) = ( 72 × 9487 ) / 1
LCM(72,9487) = 683064 / 1
LCM(72,9487) = 683064
Lets's calculate GCF of 474,3333
3 | 474, 3333 |
158, 1111 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683064/3
Therefore the LCM of Fractions 72/474,9487/3333 is 227688
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 3333
List of positive integer factors of 3333 that divides 3333 without a remainder.
1,3,11,33,101,303,1111,3333
Greatest Common Factor
We found the factors 474,3333 . The biggest common factor number is the GCF number.
So the greatest common factor 474,3333 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 72/474, 9487/3333?
Answer: LCM of Numerators as per given numbers 72/474, 9487/3333 is
LCM of Numerators i.e. for 72,9487 is 683064
GCF of denominators i.e. for 474,3333 is 3.
Thus, LCM of Fractions is 227688.Finally, LCM of Fractions for 72/474, 9487/3333 is 227688.