Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 438/60, 320/8361 quickly i.e. 23360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 438/60, 320/8361 is 23360.
LCM(438/60, 320/8361) = 23360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 438/60,320/8361
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 438,320
Least Common Multiple of Numerators i.e. LCM of 438,320 is 70080.
GCF of Denominators means GCF of 60,8361 as per the given fractions.
GCF of 60,8361 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 438,320
2 | 438, 320 |
219, 160 |
∴ So the LCM of the given numbers is 2 x 219 x 160 = 70080
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 438,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,320) x common factors =2 x 1 = 2
LCM(438,320) = ( 438 × 320 ) / 2
LCM(438,320) = 140160 / 2
LCM(438,320) = 70080
Lets's calculate GCF of 60,8361
3 | 60, 8361 |
20, 2787 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70080/3
Therefore the LCM of Fractions 438/60,320/8361 is 23360
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 8361
List of positive integer factors of 8361 that divides 8361 without a remainder.
1,3,9,929,2787,8361
Greatest Common Factor
We found the factors 60,8361 . The biggest common factor number is the GCF number.
So the greatest common factor 60,8361 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 438/60, 320/8361?
Answer: LCM of Numerators as per given numbers 438/60, 320/8361 is
LCM of Numerators i.e. for 438,320 is 70080
GCF of denominators i.e. for 60,8361 is 3.
Thus, LCM of Fractions is 23360.Finally, LCM of Fractions for 438/60, 320/8361 is 23360.