Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 669/667, 7516/8481 quickly i.e. 5028204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 669/667, 7516/8481 is 5028204.
LCM(669/667, 7516/8481) = 5028204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 669/667,7516/8481
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 669,7516
Least Common Multiple of Numerators i.e. LCM of 669,7516 is 5028204.
GCF of Denominators means GCF of 667,8481 as per the given fractions.
GCF of 667,8481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 669,7516
Given numbers has no common factors except 1. So, there LCM is their product i.e 5028204
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 669,7516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,7516) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,7516) x common factors =1 x 1 = 1
LCM(669,7516) = ( 669 × 7516 ) / 1
LCM(669,7516) = 5028204 / 1
LCM(669,7516) = 5028204
Lets's calculate GCF of 667,8481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5028204/1
Therefore the LCM of Fractions 669/667,7516/8481 is 5028204
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 8481
List of positive integer factors of 8481 that divides 8481 without a remainder.
1,3,11,33,257,771,2827,8481
Greatest Common Factor
We found the factors 667,8481 . The biggest common factor number is the GCF number.
So the greatest common factor 667,8481 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 669/667, 7516/8481?
Answer: LCM of Numerators as per given numbers 669/667, 7516/8481 is
LCM of Numerators i.e. for 669,7516 is 5028204
GCF of denominators i.e. for 667,8481 is 1.
Thus, LCM of Fractions is 5028204.Finally, LCM of Fractions for 669/667, 7516/8481 is 5028204.