Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3440/720, 7296/5134 quickly i.e. 784320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3440/720, 7296/5134 is 784320.
LCM(3440/720, 7296/5134) = 784320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3440/720,7296/5134
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 3440,7296
Least Common Multiple of Numerators i.e. LCM of 3440,7296 is 1568640.
GCF of Denominators means GCF of 720,5134 as per the given fractions.
GCF of 720,5134 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3440,7296
2 | 3440, 7296 |
2 | 1720, 3648 |
2 | 860, 1824 |
2 | 430, 912 |
215, 456 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 215 x 456 = 1568640
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 3440,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3440,7296) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(3440,7296) x common factors =16 x 1 = 16
LCM(3440,7296) = ( 3440 × 7296 ) / 16
LCM(3440,7296) = 25098240 / 16
LCM(3440,7296) = 1568640
Lets's calculate GCF of 720,5134
2 | 720, 5134 |
360, 2567 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1568640/2
Therefore the LCM of Fractions 3440/720,7296/5134 is 784320
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 5134
List of positive integer factors of 5134 that divides 5134 without a remainder.
1,2,17,34,151,302,2567,5134
Greatest Common Factor
We found the factors 720,5134 . The biggest common factor number is the GCF number.
So the greatest common factor 720,5134 is 2.
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 3440/720, 7296/5134?
Answer: LCM of Numerators as per given numbers 3440/720, 7296/5134 is
LCM of Numerators i.e. for 3440,7296 is 1568640
GCF of denominators i.e. for 720,5134 is 2.
Thus, LCM of Fractions is 784320.Finally, LCM of Fractions for 3440/720, 7296/5134 is 784320.