Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 396/104, 320/722 quickly i.e. 15840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 396/104, 320/722 is 15840.
LCM(396/104, 320/722) = 15840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 396/104,320/722
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 396,320
Least Common Multiple of Numerators i.e. LCM of 396,320 is 31680.
GCF of Denominators means GCF of 104,722 as per the given fractions.
GCF of 104,722 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 396,320
2 | 396, 320 |
2 | 198, 160 |
99, 80 |
∴ So the LCM of the given numbers is 2 x 2 x 99 x 80 = 31680
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 396,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,320) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(396,320) x common factors =4 x 1 = 4
LCM(396,320) = ( 396 × 320 ) / 4
LCM(396,320) = 126720 / 4
LCM(396,320) = 31680
Lets's calculate GCF of 104,722
2 | 104, 722 |
52, 361 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31680/2
Therefore the LCM of Fractions 396/104,320/722 is 15840
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 104,722 . The biggest common factor number is the GCF number.
So the greatest common factor 104,722 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 396/104, 320/722?
Answer: LCM of Numerators as per given numbers 396/104, 320/722 is
LCM of Numerators i.e. for 396,320 is 31680
GCF of denominators i.e. for 104,722 is 2.
Thus, LCM of Fractions is 15840.Finally, LCM of Fractions for 396/104, 320/722 is 15840.