Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 723/99, 515/3735 quickly i.e. 372345/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 723/99, 515/3735 is 372345/9.
LCM(723/99, 515/3735) = 372345/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 723/99,515/3735
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 723,515
Least Common Multiple of Numerators i.e. LCM of 723,515 is 372345.
GCF of Denominators means GCF of 99,3735 as per the given fractions.
GCF of 99,3735 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 723,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 372345
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 723,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,515) x common factors =1 x 1 = 1
LCM(723,515) = ( 723 × 515 ) / 1
LCM(723,515) = 372345 / 1
LCM(723,515) = 372345
Lets's calculate GCF of 99,3735
3 | 99, 3735 |
3 | 33, 1245 |
11, 415 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372345/9
Therefore the LCM of Fractions 723/99,515/3735 is 372345/9
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 3735
List of positive integer factors of 3735 that divides 3735 without a remainder.
1,3,5,9,15,45,83,249,415,747,1245,3735
Greatest Common Factor
We found the factors 99,3735 . The biggest common factor number is the GCF number.
So the greatest common factor 99,3735 is 9.
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 723/99, 515/3735?
Answer: LCM of Numerators as per given numbers 723/99, 515/3735 is
LCM of Numerators i.e. for 723,515 is 372345
GCF of denominators i.e. for 99,3735 is 9.
Thus, LCM of Fractions is 372345/9.Finally, LCM of Fractions for 723/99, 515/3735 is 372345/9.