Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 821/843, 8279/960 quickly i.e. 6797059/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 821/843, 8279/960 is 6797059/3.
LCM(821/843, 8279/960) = 6797059/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 821/843,8279/960
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 821,8279
Least Common Multiple of Numerators i.e. LCM of 821,8279 is 6797059.
GCF of Denominators means GCF of 843,960 as per the given fractions.
GCF of 843,960 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 821,8279
Given numbers has no common factors except 1. So, there LCM is their product i.e 6797059
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 821,8279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,8279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,8279) x common factors =1 x 1 = 1
LCM(821,8279) = ( 821 × 8279 ) / 1
LCM(821,8279) = 6797059 / 1
LCM(821,8279) = 6797059
Lets's calculate GCF of 843,960
3 | 843, 960 |
281, 320 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6797059/3
Therefore the LCM of Fractions 821/843,8279/960 is 6797059/3
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 843,960 . The biggest common factor number is the GCF number.
So the greatest common factor 843,960 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 821/843, 8279/960?
Answer: LCM of Numerators as per given numbers 821/843, 8279/960 is
LCM of Numerators i.e. for 821,8279 is 6797059
GCF of denominators i.e. for 843,960 is 3.
Thus, LCM of Fractions is 6797059/3.Finally, LCM of Fractions for 821/843, 8279/960 is 6797059/3.