Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4401/65, 7883/585 quickly i.e. 34693083/65 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4401/65, 7883/585 is 34693083/65.
LCM(4401/65, 7883/585) = 34693083/65
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4401/65,7883/585
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 4401,7883
Least Common Multiple of Numerators i.e. LCM of 4401,7883 is 34693083.
GCF of Denominators means GCF of 65,585 as per the given fractions.
GCF of 65,585 is 65 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4401,7883
Given numbers has no common factors except 1. So, there LCM is their product i.e 34693083
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 4401,7883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4401,7883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4401,7883) x common factors =1 x 1 = 1
LCM(4401,7883) = ( 4401 × 7883 ) / 1
LCM(4401,7883) = 34693083 / 1
LCM(4401,7883) = 34693083
Lets's calculate GCF of 65,585
5 | 65, 585 |
13 | 13, 117 |
1, 9 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34693083/65
Therefore the LCM of Fractions 4401/65,7883/585 is 34693083/65
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 65,585 . The biggest common factor number is the GCF number.
So the greatest common factor 65,585 is 65.
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 4401/65, 7883/585?
Answer: LCM of Numerators as per given numbers 4401/65, 7883/585 is
LCM of Numerators i.e. for 4401,7883 is 34693083
GCF of denominators i.e. for 65,585 is 65.
Thus, LCM of Fractions is 34693083/65.Finally, LCM of Fractions for 4401/65, 7883/585 is 34693083/65.