Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4835/664, 5384/3069 quickly i.e. 26031640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4835/664, 5384/3069 is 26031640.
LCM(4835/664, 5384/3069) = 26031640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4835/664,5384/3069
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 4835,5384
Least Common Multiple of Numerators i.e. LCM of 4835,5384 is 26031640.
GCF of Denominators means GCF of 664,3069 as per the given fractions.
GCF of 664,3069 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4835,5384
Given numbers has no common factors except 1. So, there LCM is their product i.e 26031640
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 4835,5384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4835,5384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4835,5384) x common factors =1 x 1 = 1
LCM(4835,5384) = ( 4835 × 5384 ) / 1
LCM(4835,5384) = 26031640 / 1
LCM(4835,5384) = 26031640
Lets's calculate GCF of 664,3069
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26031640/1
Therefore the LCM of Fractions 4835/664,5384/3069 is 26031640
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 3069
List of positive integer factors of 3069 that divides 3069 without a remainder.
1,3,9,11,31,33,93,99,279,341,1023,3069
Greatest Common Factor
We found the factors 664,3069 . The biggest common factor number is the GCF number.
So the greatest common factor 664,3069 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 4835/664, 5384/3069?
Answer: LCM of Numerators as per given numbers 4835/664, 5384/3069 is
LCM of Numerators i.e. for 4835,5384 is 26031640
GCF of denominators i.e. for 664,3069 is 1.
Thus, LCM of Fractions is 26031640.Finally, LCM of Fractions for 4835/664, 5384/3069 is 26031640.