Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 412/36, 999/4884 quickly i.e. 34299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 412/36, 999/4884 is 34299.
LCM(412/36, 999/4884) = 34299
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 412/36,999/4884
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 412,999
Least Common Multiple of Numerators i.e. LCM of 412,999 is 411588.
GCF of Denominators means GCF of 36,4884 as per the given fractions.
GCF of 36,4884 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 412,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 411588
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 412,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,999) x common factors =1 x 1 = 1
LCM(412,999) = ( 412 × 999 ) / 1
LCM(412,999) = 411588 / 1
LCM(412,999) = 411588
Lets's calculate GCF of 36,4884
2 | 36, 4884 |
2 | 18, 2442 |
3 | 9, 1221 |
3, 407 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411588/12
Therefore the LCM of Fractions 412/36,999/4884 is 34299
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 4884
List of positive integer factors of 4884 that divides 4884 without a remainder.
1,2,3,4,6,11,12,22,33,37,44,66,74,111,132,148,222,407,444,814,1221,1628,2442,4884
Greatest Common Factor
We found the factors 36,4884 . The biggest common factor number is the GCF number.
So the greatest common factor 36,4884 is 12.
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 412/36, 999/4884?
Answer: LCM of Numerators as per given numbers 412/36, 999/4884 is
LCM of Numerators i.e. for 412,999 is 411588
GCF of denominators i.e. for 36,4884 is 12.
Thus, LCM of Fractions is 34299.Finally, LCM of Fractions for 412/36, 999/4884 is 34299.