Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7308/820, 4340/323 quickly i.e. 1132740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7308/820, 4340/323 is 1132740.
LCM(7308/820, 4340/323) = 1132740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7308/820,4340/323
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 7308,4340
Least Common Multiple of Numerators i.e. LCM of 7308,4340 is 1132740.
GCF of Denominators means GCF of 820,323 as per the given fractions.
GCF of 820,323 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7308,4340
2 | 7308, 4340 |
2 | 3654, 2170 |
7 | 1827, 1085 |
261, 155 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 261 x 155 = 1132740
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 7308,4340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7308,4340) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(7308,4340) x common factors =28 x 1 = 28
LCM(7308,4340) = ( 7308 × 4340 ) / 28
LCM(7308,4340) = 31716720 / 28
LCM(7308,4340) = 1132740
Lets's calculate GCF of 820,323
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1132740/1
Therefore the LCM of Fractions 7308/820,4340/323 is 1132740
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors 820,323 . The biggest common factor number is the GCF number.
So the greatest common factor 820,323 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 7308/820, 4340/323?
Answer: LCM of Numerators as per given numbers 7308/820, 4340/323 is
LCM of Numerators i.e. for 7308,4340 is 1132740
GCF of denominators i.e. for 820,323 is 1.
Thus, LCM of Fractions is 1132740.Finally, LCM of Fractions for 7308/820, 4340/323 is 1132740.