Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/313, 9249/5929 quickly i.e. 2007033 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/313, 9249/5929 is 2007033.
LCM(651/313, 9249/5929) = 2007033
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/313,9249/5929
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 651,9249
Least Common Multiple of Numerators i.e. LCM of 651,9249 is 2007033.
GCF of Denominators means GCF of 313,5929 as per the given fractions.
GCF of 313,5929 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,9249
3 | 651, 9249 |
217, 3083 |
∴ So the LCM of the given numbers is 3 x 217 x 3083 = 2007033
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 651,9249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,9249) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,9249) x common factors =3 x 1 = 3
LCM(651,9249) = ( 651 × 9249 ) / 3
LCM(651,9249) = 6021099 / 3
LCM(651,9249) = 2007033
Lets's calculate GCF of 313,5929
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2007033/1
Therefore the LCM of Fractions 651/313,9249/5929 is 2007033
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 5929
List of positive integer factors of 5929 that divides 5929 without a remainder.
1,7,11,49,77,121,539,847,5929
Greatest Common Factor
We found the factors 313,5929 . The biggest common factor number is the GCF number.
So the greatest common factor 313,5929 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 651/313, 9249/5929?
Answer: LCM of Numerators as per given numbers 651/313, 9249/5929 is
LCM of Numerators i.e. for 651,9249 is 2007033
GCF of denominators i.e. for 313,5929 is 1.
Thus, LCM of Fractions is 2007033.Finally, LCM of Fractions for 651/313, 9249/5929 is 2007033.