Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/71, 838/4864 quickly i.e. 693026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/71, 838/4864 is 693026.
LCM(827/71, 838/4864) = 693026
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/71,838/4864
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 827,838
Least Common Multiple of Numerators i.e. LCM of 827,838 is 693026.
GCF of Denominators means GCF of 71,4864 as per the given fractions.
GCF of 71,4864 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 693026
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 827,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,838) x common factors =1 x 1 = 1
LCM(827,838) = ( 827 × 838 ) / 1
LCM(827,838) = 693026 / 1
LCM(827,838) = 693026
Lets's calculate GCF of 71,4864
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693026/1
Therefore the LCM of Fractions 827/71,838/4864 is 693026
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 4864
List of positive integer factors of 4864 that divides 4864 without a remainder.
1,2,4,8,16,19,32,38,64,76,128,152,256,304,608,1216,2432,4864
Greatest Common Factor
We found the factors 71,4864 . The biggest common factor number is the GCF number.
So the greatest common factor 71,4864 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 827/71, 838/4864?
Answer: LCM of Numerators as per given numbers 827/71, 838/4864 is
LCM of Numerators i.e. for 827,838 is 693026
GCF of denominators i.e. for 71,4864 is 1.
Thus, LCM of Fractions is 693026.Finally, LCM of Fractions for 827/71, 838/4864 is 693026.