Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/640, 40/160 quickly i.e. 3240/160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/640, 40/160 is 3240/160.
LCM(81/640, 40/160) = 3240/160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/640,40/160
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 81,40
Least Common Multiple of Numerators i.e. LCM of 81,40 is 3240.
GCF of Denominators means GCF of 640,160 as per the given fractions.
GCF of 640,160 is 160 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,40
Given numbers has no common factors except 1. So, there LCM is their product i.e 3240
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 81,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,40) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,40) x common factors =1 x 1 = 1
LCM(81,40) = ( 81 × 40 ) / 1
LCM(81,40) = 3240 / 1
LCM(81,40) = 3240
Lets's calculate GCF of 640,160
2 | 640, 160 |
2 | 320, 80 |
2 | 160, 40 |
2 | 80, 20 |
2 | 40, 10 |
5 | 20, 5 |
4, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 = 160
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3240/160
Therefore the LCM of Fractions 81/640,40/160 is 3240/160
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 640,160 . The biggest common factor number is the GCF number.
So the greatest common factor 640,160 is 160.
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 81/640, 40/160?
Answer: LCM of Numerators as per given numbers 81/640, 40/160 is
LCM of Numerators i.e. for 81,40 is 3240
GCF of denominators i.e. for 640,160 is 160.
Thus, LCM of Fractions is 3240/160.Finally, LCM of Fractions for 81/640, 40/160 is 3240/160.