Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6485/303, 8662/667 quickly i.e. 56173070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6485/303, 8662/667 is 56173070.
LCM(6485/303, 8662/667) = 56173070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6485/303,8662/667
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 6485,8662
Least Common Multiple of Numerators i.e. LCM of 6485,8662 is 56173070.
GCF of Denominators means GCF of 303,667 as per the given fractions.
GCF of 303,667 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6485,8662
Given numbers has no common factors except 1. So, there LCM is their product i.e 56173070
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 6485,8662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6485,8662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6485,8662) x common factors =1 x 1 = 1
LCM(6485,8662) = ( 6485 × 8662 ) / 1
LCM(6485,8662) = 56173070 / 1
LCM(6485,8662) = 56173070
Lets's calculate GCF of 303,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56173070/1
Therefore the LCM of Fractions 6485/303,8662/667 is 56173070
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Greatest Common Factor
We found the factors 303,667 . The biggest common factor number is the GCF number.
So the greatest common factor 303,667 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 6485/303, 8662/667?
Answer: LCM of Numerators as per given numbers 6485/303, 8662/667 is
LCM of Numerators i.e. for 6485,8662 is 56173070
GCF of denominators i.e. for 303,667 is 1.
Thus, LCM of Fractions is 56173070.Finally, LCM of Fractions for 6485/303, 8662/667 is 56173070.