Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4665/799, 8713/5264 quickly i.e. 40646145/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4665/799, 8713/5264 is 40646145/47.
LCM(4665/799, 8713/5264) = 40646145/47
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4665/799,8713/5264
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 4665,8713
Least Common Multiple of Numerators i.e. LCM of 4665,8713 is 40646145.
GCF of Denominators means GCF of 799,5264 as per the given fractions.
GCF of 799,5264 is 47 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4665,8713
Given numbers has no common factors except 1. So, there LCM is their product i.e 40646145
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 4665,8713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4665,8713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4665,8713) x common factors =1 x 1 = 1
LCM(4665,8713) = ( 4665 × 8713 ) / 1
LCM(4665,8713) = 40646145 / 1
LCM(4665,8713) = 40646145
Lets's calculate GCF of 799,5264
47 | 799, 5264 |
17, 112 |
∴ So the GCF of the given numbers is 47 = 47
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40646145/47
Therefore the LCM of Fractions 4665/799,8713/5264 is 40646145/47
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 5264
List of positive integer factors of 5264 that divides 5264 without a remainder.
1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264
Greatest Common Factor
We found the factors 799,5264 . The biggest common factor number is the GCF number.
So the greatest common factor 799,5264 is 47.
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 4665/799, 8713/5264?
Answer: LCM of Numerators as per given numbers 4665/799, 8713/5264 is
LCM of Numerators i.e. for 4665,8713 is 40646145
GCF of denominators i.e. for 799,5264 is 47.
Thus, LCM of Fractions is 40646145/47.Finally, LCM of Fractions for 4665/799, 8713/5264 is 40646145/47.