Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 806/71, 284/9219 quickly i.e. 114452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 806/71, 284/9219 is 114452.
LCM(806/71, 284/9219) = 114452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 806/71,284/9219
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 806,284
Least Common Multiple of Numerators i.e. LCM of 806,284 is 114452.
GCF of Denominators means GCF of 71,9219 as per the given fractions.
GCF of 71,9219 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 806,284
2 | 806, 284 |
403, 142 |
∴ So the LCM of the given numbers is 2 x 403 x 142 = 114452
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 806,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,284) x common factors =2 x 1 = 2
LCM(806,284) = ( 806 × 284 ) / 2
LCM(806,284) = 228904 / 2
LCM(806,284) = 114452
Lets's calculate GCF of 71,9219
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114452/1
Therefore the LCM of Fractions 806/71,284/9219 is 114452
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 9219
List of positive integer factors of 9219 that divides 9219 without a remainder.
1,3,7,21,439,1317,3073,9219
Greatest Common Factor
We found the factors 71,9219 . The biggest common factor number is the GCF number.
So the greatest common factor 71,9219 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 806/71, 284/9219?
Answer: LCM of Numerators as per given numbers 806/71, 284/9219 is
LCM of Numerators i.e. for 806,284 is 114452
GCF of denominators i.e. for 71,9219 is 1.
Thus, LCM of Fractions is 114452.Finally, LCM of Fractions for 806/71, 284/9219 is 114452.