Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 828/367, 2848/2939 quickly i.e. 589536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 828/367, 2848/2939 is 589536.
LCM(828/367, 2848/2939) = 589536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 828/367,2848/2939
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 828,2848
Least Common Multiple of Numerators i.e. LCM of 828,2848 is 589536.
GCF of Denominators means GCF of 367,2939 as per the given fractions.
GCF of 367,2939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 828,2848
2 | 828, 2848 |
2 | 414, 1424 |
207, 712 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 712 = 589536
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 828,2848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,2848) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,2848) x common factors =4 x 1 = 4
LCM(828,2848) = ( 828 × 2848 ) / 4
LCM(828,2848) = 2358144 / 4
LCM(828,2848) = 589536
Lets's calculate GCF of 367,2939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589536/1
Therefore the LCM of Fractions 828/367,2848/2939 is 589536
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 2939
List of positive integer factors of 2939 that divides 2939 without a remainder.
1,2939
Greatest Common Factor
We found the factors 367,2939 . The biggest common factor number is the GCF number.
So the greatest common factor 367,2939 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 828/367, 2848/2939?
Answer: LCM of Numerators as per given numbers 828/367, 2848/2939 is
LCM of Numerators i.e. for 828,2848 is 589536
GCF of denominators i.e. for 367,2939 is 1.
Thus, LCM of Fractions is 589536.Finally, LCM of Fractions for 828/367, 2848/2939 is 589536.