Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4382/957, 4999/9533 quickly i.e. 21905618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4382/957, 4999/9533 is 21905618.
LCM(4382/957, 4999/9533) = 21905618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4382/957,4999/9533
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 4382,4999
Least Common Multiple of Numerators i.e. LCM of 4382,4999 is 21905618.
GCF of Denominators means GCF of 957,9533 as per the given fractions.
GCF of 957,9533 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4382,4999
Given numbers has no common factors except 1. So, there LCM is their product i.e 21905618
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 4382,4999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4382,4999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4382,4999) x common factors =1 x 1 = 1
LCM(4382,4999) = ( 4382 × 4999 ) / 1
LCM(4382,4999) = 21905618 / 1
LCM(4382,4999) = 21905618
Lets's calculate GCF of 957,9533
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21905618/1
Therefore the LCM of Fractions 4382/957,4999/9533 is 21905618
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 9533
List of positive integer factors of 9533 that divides 9533 without a remainder.
1,9533
Greatest Common Factor
We found the factors 957,9533 . The biggest common factor number is the GCF number.
So the greatest common factor 957,9533 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 4382/957, 4999/9533?
Answer: LCM of Numerators as per given numbers 4382/957, 4999/9533 is
LCM of Numerators i.e. for 4382,4999 is 21905618
GCF of denominators i.e. for 957,9533 is 1.
Thus, LCM of Fractions is 21905618.Finally, LCM of Fractions for 4382/957, 4999/9533 is 21905618.