Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3232/507, 8550/241 quickly i.e. 13816800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3232/507, 8550/241 is 13816800.
LCM(3232/507, 8550/241) = 13816800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3232/507,8550/241
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 3232,8550
Least Common Multiple of Numerators i.e. LCM of 3232,8550 is 13816800.
GCF of Denominators means GCF of 507,241 as per the given fractions.
GCF of 507,241 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3232,8550
2 | 3232, 8550 |
1616, 4275 |
∴ So the LCM of the given numbers is 2 x 1616 x 4275 = 13816800
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 3232,8550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3232,8550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3232,8550) x common factors =2 x 1 = 2
LCM(3232,8550) = ( 3232 × 8550 ) / 2
LCM(3232,8550) = 27633600 / 2
LCM(3232,8550) = 13816800
Lets's calculate GCF of 507,241
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13816800/1
Therefore the LCM of Fractions 3232/507,8550/241 is 13816800
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Greatest Common Factor
We found the factors 507,241 . The biggest common factor number is the GCF number.
So the greatest common factor 507,241 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 3232/507, 8550/241?
Answer: LCM of Numerators as per given numbers 3232/507, 8550/241 is
LCM of Numerators i.e. for 3232,8550 is 13816800
GCF of denominators i.e. for 507,241 is 1.
Thus, LCM of Fractions is 13816800.Finally, LCM of Fractions for 3232/507, 8550/241 is 13816800.