Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/14, 41/96, 40/16, 80/772 quickly i.e. 1640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/14, 41/96, 40/16, 80/772 is 1640.
LCM(80/14, 41/96, 40/16, 80/772) = 1640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/14,41/96,40/16,80/772
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 80,41,40,80
Least Common Multiple of Numerators i.e. LCM of 80,41,40,80 is 3280.
GCF of Denominators means GCF of 14,96,16,772 as per the given fractions.
GCF of 14,96,16,772 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,41,40,80
2 | 80, 41, 40, 80 |
2 | 40, 41, 20, 40 |
2 | 10, 41, 20, 20 |
2 | 5, 41, 10, 10 |
5 | 5, 41, 5, 5 |
1, 41, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 41 x 1 x 1 = 3280
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 80,41,40,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,41,40,80) = 1
common factors(in case of two or more numbers have common factors) = 3200
GCF(80,41,40,80) x common factors =1 x 3200 = 3200
LCM(80,41,40,80) = ( 80 × 41 × 40 × 80 ) / 3200
LCM(80,41,40,80) = 10496000 / 3200
LCM(80,41,40,80) = 3280
Lets's calculate GCF of 14,96,16,772
2 | 14, 96, 16, 772 |
7, 48, 8, 386 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3280/2
Therefore the LCM of Fractions 80/14,41/96,40/16,80/772 is 1640
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 14,96,16,772 . The biggest common factor number is the GCF number.
So the greatest common factor 14,96,16,772 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 80/14, 41/96, 40/16, 80/772?
Answer: LCM of Numerators as per given numbers 80/14, 41/96, 40/16, 80/772 is
LCM of Numerators i.e. for 80,41,40,80 is 3280
GCF of denominators i.e. for 14,96,16,772 is 2.
Thus, LCM of Fractions is 1640.Finally, LCM of Fractions for 80/14, 41/96, 40/16, 80/772 is 1640.