Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2350/500, 4829/9531 quickly i.e. 11348150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2350/500, 4829/9531 is 11348150.
LCM(2350/500, 4829/9531) = 11348150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2350/500,4829/9531
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 2350,4829
Least Common Multiple of Numerators i.e. LCM of 2350,4829 is 11348150.
GCF of Denominators means GCF of 500,9531 as per the given fractions.
GCF of 500,9531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2350,4829
Given numbers has no common factors except 1. So, there LCM is their product i.e 11348150
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 2350,4829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2350,4829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2350,4829) x common factors =1 x 1 = 1
LCM(2350,4829) = ( 2350 × 4829 ) / 1
LCM(2350,4829) = 11348150 / 1
LCM(2350,4829) = 11348150
Lets's calculate GCF of 500,9531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11348150/1
Therefore the LCM of Fractions 2350/500,4829/9531 is 11348150
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
Factors of 9531
List of positive integer factors of 9531 that divides 9531 without a remainder.
1,3,9,27,353,1059,3177,9531
Greatest Common Factor
We found the factors 500,9531 . The biggest common factor number is the GCF number.
So the greatest common factor 500,9531 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 2350/500, 4829/9531?
Answer: LCM of Numerators as per given numbers 2350/500, 4829/9531 is
LCM of Numerators i.e. for 2350,4829 is 11348150
GCF of denominators i.e. for 500,9531 is 1.
Thus, LCM of Fractions is 11348150.Finally, LCM of Fractions for 2350/500, 4829/9531 is 11348150.