Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/71, 256/74, 813/560 quickly i.e. 1040640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/71, 256/74, 813/560 is 1040640.
LCM(80/71, 256/74, 813/560) = 1040640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/71,256/74,813/560
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 80,256,813
Least Common Multiple of Numerators i.e. LCM of 80,256,813 is 1040640.
GCF of Denominators means GCF of 71,74,560 as per the given fractions.
GCF of 71,74,560 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,256,813
2 | 80, 256, 813 |
2 | 40, 128, 813 |
2 | 20, 64, 813 |
2 | 10, 32, 813 |
5, 16, 813 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 16 x 813 = 1040640
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 80,256,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,256,813) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(80,256,813) x common factors =1 x 16 = 16
LCM(80,256,813) = ( 80 × 256 × 813 ) / 16
LCM(80,256,813) = 16650240 / 16
LCM(80,256,813) = 1040640
Lets's calculate GCF of 71,74,560
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1040640/1
Therefore the LCM of Fractions 80/71,256/74,813/560 is 1040640
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 71,74,560 . The biggest common factor number is the GCF number.
So the greatest common factor 71,74,560 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 80/71, 256/74, 813/560?
Answer: LCM of Numerators as per given numbers 80/71, 256/74, 813/560 is
LCM of Numerators i.e. for 80,256,813 is 1040640
GCF of denominators i.e. for 71,74,560 is 1.
Thus, LCM of Fractions is 1040640.Finally, LCM of Fractions for 80/71, 256/74, 813/560 is 1040640.