Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1439/723, 6600/5148 quickly i.e. 3165800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1439/723, 6600/5148 is 3165800.
LCM(1439/723, 6600/5148) = 3165800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1439/723,6600/5148
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 1439,6600
Least Common Multiple of Numerators i.e. LCM of 1439,6600 is 9497400.
GCF of Denominators means GCF of 723,5148 as per the given fractions.
GCF of 723,5148 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1439,6600
Given numbers has no common factors except 1. So, there LCM is their product i.e 9497400
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 1439,6600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1439,6600) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1439,6600) x common factors =1 x 1 = 1
LCM(1439,6600) = ( 1439 × 6600 ) / 1
LCM(1439,6600) = 9497400 / 1
LCM(1439,6600) = 9497400
Lets's calculate GCF of 723,5148
3 | 723, 5148 |
241, 1716 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9497400/3
Therefore the LCM of Fractions 1439/723,6600/5148 is 3165800
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 5148
List of positive integer factors of 5148 that divides 5148 without a remainder.
1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Greatest Common Factor
We found the factors 723,5148 . The biggest common factor number is the GCF number.
So the greatest common factor 723,5148 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 1439/723, 6600/5148?
Answer: LCM of Numerators as per given numbers 1439/723, 6600/5148 is
LCM of Numerators i.e. for 1439,6600 is 9497400
GCF of denominators i.e. for 723,5148 is 3.
Thus, LCM of Fractions is 3165800.Finally, LCM of Fractions for 1439/723, 6600/5148 is 3165800.