Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 832/280, 8344/1596 quickly i.e. 30992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 832/280, 8344/1596 is 30992.
LCM(832/280, 8344/1596) = 30992
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 832/280,8344/1596
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 832,8344
Least Common Multiple of Numerators i.e. LCM of 832,8344 is 867776.
GCF of Denominators means GCF of 280,1596 as per the given fractions.
GCF of 280,1596 is 28 as it is the largest common factor for these numbers.
Lets's calculate LCM of 832,8344
2 | 832, 8344 |
2 | 416, 4172 |
2 | 208, 2086 |
104, 1043 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 104 x 1043 = 867776
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 832,8344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,8344) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(832,8344) x common factors =8 x 1 = 8
LCM(832,8344) = ( 832 × 8344 ) / 8
LCM(832,8344) = 6942208 / 8
LCM(832,8344) = 867776
Lets's calculate GCF of 280,1596
2 | 280, 1596 |
2 | 140, 798 |
7 | 70, 399 |
10, 57 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 867776/28
Therefore the LCM of Fractions 832/280,8344/1596 is 30992
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 1596
List of positive integer factors of 1596 that divides 1596 without a remainder.
1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596
Greatest Common Factor
We found the factors 280,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 280,1596 is 28.
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 832/280, 8344/1596?
Answer: LCM of Numerators as per given numbers 832/280, 8344/1596 is
LCM of Numerators i.e. for 832,8344 is 867776
GCF of denominators i.e. for 280,1596 is 28.
Thus, LCM of Fractions is 30992.Finally, LCM of Fractions for 832/280, 8344/1596 is 30992.