Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3466/899, 5770/4008 quickly i.e. 9999410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3466/899, 5770/4008 is 9999410.
LCM(3466/899, 5770/4008) = 9999410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3466/899,5770/4008
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 3466,5770
Least Common Multiple of Numerators i.e. LCM of 3466,5770 is 9999410.
GCF of Denominators means GCF of 899,4008 as per the given fractions.
GCF of 899,4008 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3466,5770
2 | 3466, 5770 |
1733, 2885 |
∴ So the LCM of the given numbers is 2 x 1733 x 2885 = 9999410
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 3466,5770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3466,5770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3466,5770) x common factors =2 x 1 = 2
LCM(3466,5770) = ( 3466 × 5770 ) / 2
LCM(3466,5770) = 19998820 / 2
LCM(3466,5770) = 9999410
Lets's calculate GCF of 899,4008
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9999410/1
Therefore the LCM of Fractions 3466/899,5770/4008 is 9999410
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 4008
List of positive integer factors of 4008 that divides 4008 without a remainder.
1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008
Greatest Common Factor
We found the factors 899,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 899,4008 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 3466/899, 5770/4008?
Answer: LCM of Numerators as per given numbers 3466/899, 5770/4008 is
LCM of Numerators i.e. for 3466,5770 is 9999410
GCF of denominators i.e. for 899,4008 is 1.
Thus, LCM of Fractions is 9999410.Finally, LCM of Fractions for 3466/899, 5770/4008 is 9999410.