Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9150/447, 4708/4791 quickly i.e. 7179700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9150/447, 4708/4791 is 7179700.
LCM(9150/447, 4708/4791) = 7179700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9150/447,4708/4791
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 9150,4708
Least Common Multiple of Numerators i.e. LCM of 9150,4708 is 21539100.
GCF of Denominators means GCF of 447,4791 as per the given fractions.
GCF of 447,4791 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9150,4708
2 | 9150, 4708 |
4575, 2354 |
∴ So the LCM of the given numbers is 2 x 4575 x 2354 = 21539100
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 9150,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9150,4708) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9150,4708) x common factors =2 x 1 = 2
LCM(9150,4708) = ( 9150 × 4708 ) / 2
LCM(9150,4708) = 43078200 / 2
LCM(9150,4708) = 21539100
Lets's calculate GCF of 447,4791
3 | 447, 4791 |
149, 1597 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21539100/3
Therefore the LCM of Fractions 9150/447,4708/4791 is 7179700
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 4791
List of positive integer factors of 4791 that divides 4791 without a remainder.
1,3,1597,4791
Greatest Common Factor
We found the factors 447,4791 . The biggest common factor number is the GCF number.
So the greatest common factor 447,4791 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 9150/447, 4708/4791?
Answer: LCM of Numerators as per given numbers 9150/447, 4708/4791 is
LCM of Numerators i.e. for 9150,4708 is 21539100
GCF of denominators i.e. for 447,4791 is 3.
Thus, LCM of Fractions is 7179700.Finally, LCM of Fractions for 9150/447, 4708/4791 is 7179700.