Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 963/45, 6789/723 quickly i.e. 726423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 963/45, 6789/723 is 726423.
LCM(963/45, 6789/723) = 726423
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 963/45,6789/723
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 963,6789
Least Common Multiple of Numerators i.e. LCM of 963,6789 is 2179269.
GCF of Denominators means GCF of 45,723 as per the given fractions.
GCF of 45,723 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 963,6789
3 | 963, 6789 |
321, 2263 |
∴ So the LCM of the given numbers is 3 x 321 x 2263 = 2179269
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 963,6789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,6789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(963,6789) x common factors =3 x 1 = 3
LCM(963,6789) = ( 963 × 6789 ) / 3
LCM(963,6789) = 6537807 / 3
LCM(963,6789) = 2179269
Lets's calculate GCF of 45,723
3 | 45, 723 |
15, 241 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2179269/3
Therefore the LCM of Fractions 963/45,6789/723 is 726423
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 45,723 . The biggest common factor number is the GCF number.
So the greatest common factor 45,723 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 963/45, 6789/723?
Answer: LCM of Numerators as per given numbers 963/45, 6789/723 is
LCM of Numerators i.e. for 963,6789 is 2179269
GCF of denominators i.e. for 45,723 is 3.
Thus, LCM of Fractions is 726423.Finally, LCM of Fractions for 963/45, 6789/723 is 726423.