Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/467, 227/18, 826/500 quickly i.e. 9937606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/467, 227/18, 826/500 is 9937606.
LCM(53/467, 227/18, 826/500) = 9937606
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/467,227/18,826/500
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 53,227,826
Least Common Multiple of Numerators i.e. LCM of 53,227,826 is 9937606.
GCF of Denominators means GCF of 467,18,500 as per the given fractions.
GCF of 467,18,500 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,227,826
Given numbers has no common factors except 1. So, there LCM is their product i.e 9937606
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 53,227,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,227,826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,227,826) x common factors =1 x 1 = 1
LCM(53,227,826) = ( 53 × 227 × 826 ) / 1
LCM(53,227,826) = 9937606 / 1
LCM(53,227,826) = 9937606
Lets's calculate GCF of 467,18,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9937606/1
Therefore the LCM of Fractions 53/467,227/18,826/500 is 9937606
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 467,18,500 . The biggest common factor number is the GCF number.
So the greatest common factor 467,18,500 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 53/467, 227/18, 826/500?
Answer: LCM of Numerators as per given numbers 53/467, 227/18, 826/500 is
LCM of Numerators i.e. for 53,227,826 is 9937606
GCF of denominators i.e. for 467,18,500 is 1.
Thus, LCM of Fractions is 9937606.Finally, LCM of Fractions for 53/467, 227/18, 826/500 is 9937606.