Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/884, 9535/3184 quickly i.e. 791405/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/884, 9535/3184 is 791405/4.
LCM(83/884, 9535/3184) = 791405/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/884,9535/3184
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 83,9535
Least Common Multiple of Numerators i.e. LCM of 83,9535 is 791405.
GCF of Denominators means GCF of 884,3184 as per the given fractions.
GCF of 884,3184 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,9535
Given numbers has no common factors except 1. So, there LCM is their product i.e 791405
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 83,9535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,9535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,9535) x common factors =1 x 1 = 1
LCM(83,9535) = ( 83 × 9535 ) / 1
LCM(83,9535) = 791405 / 1
LCM(83,9535) = 791405
Lets's calculate GCF of 884,3184
2 | 884, 3184 |
2 | 442, 1592 |
221, 796 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 791405/4
Therefore the LCM of Fractions 83/884,9535/3184 is 791405/4
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 3184
List of positive integer factors of 3184 that divides 3184 without a remainder.
1,2,4,8,16,199,398,796,1592,3184
Greatest Common Factor
We found the factors 884,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 884,3184 is 4.
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 83/884, 9535/3184?
Answer: LCM of Numerators as per given numbers 83/884, 9535/3184 is
LCM of Numerators i.e. for 83,9535 is 791405
GCF of denominators i.e. for 884,3184 is 4.
Thus, LCM of Fractions is 791405/4.Finally, LCM of Fractions for 83/884, 9535/3184 is 791405/4.