Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5672/956, 5799/8462 quickly i.e. 16445964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5672/956, 5799/8462 is 16445964.
LCM(5672/956, 5799/8462) = 16445964
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5672/956,5799/8462
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 5672,5799
Least Common Multiple of Numerators i.e. LCM of 5672,5799 is 32891928.
GCF of Denominators means GCF of 956,8462 as per the given fractions.
GCF of 956,8462 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5672,5799
Given numbers has no common factors except 1. So, there LCM is their product i.e 32891928
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 5672,5799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5672,5799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5672,5799) x common factors =1 x 1 = 1
LCM(5672,5799) = ( 5672 × 5799 ) / 1
LCM(5672,5799) = 32891928 / 1
LCM(5672,5799) = 32891928
Lets's calculate GCF of 956,8462
2 | 956, 8462 |
478, 4231 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32891928/2
Therefore the LCM of Fractions 5672/956,5799/8462 is 16445964
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 8462
List of positive integer factors of 8462 that divides 8462 without a remainder.
1,2,4231,8462
Greatest Common Factor
We found the factors 956,8462 . The biggest common factor number is the GCF number.
So the greatest common factor 956,8462 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 5672/956, 5799/8462?
Answer: LCM of Numerators as per given numbers 5672/956, 5799/8462 is
LCM of Numerators i.e. for 5672,5799 is 32891928
GCF of denominators i.e. for 956,8462 is 2.
Thus, LCM of Fractions is 16445964.Finally, LCM of Fractions for 5672/956, 5799/8462 is 16445964.