Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9498/950, 5781/864 quickly i.e. 9151323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9498/950, 5781/864 is 9151323.
LCM(9498/950, 5781/864) = 9151323
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9498/950,5781/864
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 9498,5781
Least Common Multiple of Numerators i.e. LCM of 9498,5781 is 18302646.
GCF of Denominators means GCF of 950,864 as per the given fractions.
GCF of 950,864 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9498,5781
3 | 9498, 5781 |
3166, 1927 |
∴ So the LCM of the given numbers is 3 x 3166 x 1927 = 18302646
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 9498,5781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9498,5781) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9498,5781) x common factors =3 x 1 = 3
LCM(9498,5781) = ( 9498 × 5781 ) / 3
LCM(9498,5781) = 54907938 / 3
LCM(9498,5781) = 18302646
Lets's calculate GCF of 950,864
2 | 950, 864 |
475, 432 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18302646/2
Therefore the LCM of Fractions 9498/950,5781/864 is 9151323
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 950,864 . The biggest common factor number is the GCF number.
So the greatest common factor 950,864 is 2.
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 9498/950, 5781/864?
Answer: LCM of Numerators as per given numbers 9498/950, 5781/864 is
LCM of Numerators i.e. for 9498,5781 is 18302646
GCF of denominators i.e. for 950,864 is 2.
Thus, LCM of Fractions is 9151323.Finally, LCM of Fractions for 9498/950, 5781/864 is 9151323.