Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3233/642, 8902/847 quickly i.e. 28780166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3233/642, 8902/847 is 28780166.
LCM(3233/642, 8902/847) = 28780166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3233/642,8902/847
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 3233,8902
Least Common Multiple of Numerators i.e. LCM of 3233,8902 is 28780166.
GCF of Denominators means GCF of 642,847 as per the given fractions.
GCF of 642,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3233,8902
Given numbers has no common factors except 1. So, there LCM is their product i.e 28780166
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 3233,8902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3233,8902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3233,8902) x common factors =1 x 1 = 1
LCM(3233,8902) = ( 3233 × 8902 ) / 1
LCM(3233,8902) = 28780166 / 1
LCM(3233,8902) = 28780166
Lets's calculate GCF of 642,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28780166/1
Therefore the LCM of Fractions 3233/642,8902/847 is 28780166
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 642,847 . The biggest common factor number is the GCF number.
So the greatest common factor 642,847 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 3233/642, 8902/847?
Answer: LCM of Numerators as per given numbers 3233/642, 8902/847 is
LCM of Numerators i.e. for 3233,8902 is 28780166
GCF of denominators i.e. for 642,847 is 1.
Thus, LCM of Fractions is 28780166.Finally, LCM of Fractions for 3233/642, 8902/847 is 28780166.