Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 673/231, 9281/633 quickly i.e. 6246113/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 673/231, 9281/633 is 6246113/3.
LCM(673/231, 9281/633) = 6246113/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 673/231,9281/633
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 673,9281
Least Common Multiple of Numerators i.e. LCM of 673,9281 is 6246113.
GCF of Denominators means GCF of 231,633 as per the given fractions.
GCF of 231,633 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 673,9281
Given numbers has no common factors except 1. So, there LCM is their product i.e 6246113
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 673,9281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,9281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,9281) x common factors =1 x 1 = 1
LCM(673,9281) = ( 673 × 9281 ) / 1
LCM(673,9281) = 6246113 / 1
LCM(673,9281) = 6246113
Lets's calculate GCF of 231,633
3 | 231, 633 |
77, 211 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6246113/3
Therefore the LCM of Fractions 673/231,9281/633 is 6246113/3
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 231,633 . The biggest common factor number is the GCF number.
So the greatest common factor 231,633 is 3.
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 673/231, 9281/633?
Answer: LCM of Numerators as per given numbers 673/231, 9281/633 is
LCM of Numerators i.e. for 673,9281 is 6246113
GCF of denominators i.e. for 231,633 is 3.
Thus, LCM of Fractions is 6246113/3.Finally, LCM of Fractions for 673/231, 9281/633 is 6246113/3.