Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8599/75, 6258/923 quickly i.e. 53812542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8599/75, 6258/923 is 53812542.
LCM(8599/75, 6258/923) = 53812542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8599/75,6258/923
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 8599,6258
Least Common Multiple of Numerators i.e. LCM of 8599,6258 is 53812542.
GCF of Denominators means GCF of 75,923 as per the given fractions.
GCF of 75,923 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8599,6258
Given numbers has no common factors except 1. So, there LCM is their product i.e 53812542
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 8599,6258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8599,6258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8599,6258) x common factors =1 x 1 = 1
LCM(8599,6258) = ( 8599 × 6258 ) / 1
LCM(8599,6258) = 53812542 / 1
LCM(8599,6258) = 53812542
Lets's calculate GCF of 75,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53812542/1
Therefore the LCM of Fractions 8599/75,6258/923 is 53812542
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 75,923 . The biggest common factor number is the GCF number.
So the greatest common factor 75,923 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 8599/75, 6258/923?
Answer: LCM of Numerators as per given numbers 8599/75, 6258/923 is
LCM of Numerators i.e. for 8599,6258 is 53812542
GCF of denominators i.e. for 75,923 is 1.
Thus, LCM of Fractions is 53812542.Finally, LCM of Fractions for 8599/75, 6258/923 is 53812542.