Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 641/506, 9176/8149 quickly i.e. 5881816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 641/506, 9176/8149 is 5881816.
LCM(641/506, 9176/8149) = 5881816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 641/506,9176/8149
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 641,9176
Least Common Multiple of Numerators i.e. LCM of 641,9176 is 5881816.
GCF of Denominators means GCF of 506,8149 as per the given fractions.
GCF of 506,8149 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 641,9176
Given numbers has no common factors except 1. So, there LCM is their product i.e 5881816
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 641,9176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,9176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,9176) x common factors =1 x 1 = 1
LCM(641,9176) = ( 641 × 9176 ) / 1
LCM(641,9176) = 5881816 / 1
LCM(641,9176) = 5881816
Lets's calculate GCF of 506,8149
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5881816/1
Therefore the LCM of Fractions 641/506,9176/8149 is 5881816
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 8149
List of positive integer factors of 8149 that divides 8149 without a remainder.
1,29,281,8149
Greatest Common Factor
We found the factors 506,8149 . The biggest common factor number is the GCF number.
So the greatest common factor 506,8149 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 641/506, 9176/8149?
Answer: LCM of Numerators as per given numbers 641/506, 9176/8149 is
LCM of Numerators i.e. for 641,9176 is 5881816
GCF of denominators i.e. for 506,8149 is 1.
Thus, LCM of Fractions is 5881816.Finally, LCM of Fractions for 641/506, 9176/8149 is 5881816.