Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 441/20, 504/6088 quickly i.e. 882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 441/20, 504/6088 is 882.
LCM(441/20, 504/6088) = 882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 441/20,504/6088
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 441,504
Least Common Multiple of Numerators i.e. LCM of 441,504 is 3528.
GCF of Denominators means GCF of 20,6088 as per the given fractions.
GCF of 20,6088 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 441,504
3 | 441, 504 |
3 | 147, 168 |
7 | 49, 56 |
7, 8 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 7 x 8 = 3528
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 441,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,504) = 63
common factors(in case of two or more numbers have common factors) = 1
GCF(441,504) x common factors =63 x 1 = 63
LCM(441,504) = ( 441 × 504 ) / 63
LCM(441,504) = 222264 / 63
LCM(441,504) = 3528
Lets's calculate GCF of 20,6088
2 | 20, 6088 |
2 | 10, 3044 |
5, 1522 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3528/4
Therefore the LCM of Fractions 441/20,504/6088 is 882
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 6088
List of positive integer factors of 6088 that divides 6088 without a remainder.
1,2,4,8,761,1522,3044,6088
Greatest Common Factor
We found the factors 20,6088 . The biggest common factor number is the GCF number.
So the greatest common factor 20,6088 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 441/20, 504/6088?
Answer: LCM of Numerators as per given numbers 441/20, 504/6088 is
LCM of Numerators i.e. for 441,504 is 3528
GCF of denominators i.e. for 20,6088 is 4.
Thus, LCM of Fractions is 882.Finally, LCM of Fractions for 441/20, 504/6088 is 882.