Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8501/167, 6336/5173 quickly i.e. 53862336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8501/167, 6336/5173 is 53862336.
LCM(8501/167, 6336/5173) = 53862336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8501/167,6336/5173
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 8501,6336
Least Common Multiple of Numerators i.e. LCM of 8501,6336 is 53862336.
GCF of Denominators means GCF of 167,5173 as per the given fractions.
GCF of 167,5173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8501,6336
Given numbers has no common factors except 1. So, there LCM is their product i.e 53862336
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 8501,6336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8501,6336) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8501,6336) x common factors =1 x 1 = 1
LCM(8501,6336) = ( 8501 × 6336 ) / 1
LCM(8501,6336) = 53862336 / 1
LCM(8501,6336) = 53862336
Lets's calculate GCF of 167,5173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53862336/1
Therefore the LCM of Fractions 8501/167,6336/5173 is 53862336
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 5173
List of positive integer factors of 5173 that divides 5173 without a remainder.
1,7,739,5173
Greatest Common Factor
We found the factors 167,5173 . The biggest common factor number is the GCF number.
So the greatest common factor 167,5173 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 8501/167, 6336/5173?
Answer: LCM of Numerators as per given numbers 8501/167, 6336/5173 is
LCM of Numerators i.e. for 8501,6336 is 53862336
GCF of denominators i.e. for 167,5173 is 1.
Thus, LCM of Fractions is 53862336.Finally, LCM of Fractions for 8501/167, 6336/5173 is 53862336.