Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3696/455, 6539/581 quickly i.e. 3452592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3696/455, 6539/581 is 3452592.
LCM(3696/455, 6539/581) = 3452592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3696/455,6539/581
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 3696,6539
Least Common Multiple of Numerators i.e. LCM of 3696,6539 is 24168144.
GCF of Denominators means GCF of 455,581 as per the given fractions.
GCF of 455,581 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3696,6539
Given numbers has no common factors except 1. So, there LCM is their product i.e 24168144
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 3696,6539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3696,6539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3696,6539) x common factors =1 x 1 = 1
LCM(3696,6539) = ( 3696 × 6539 ) / 1
LCM(3696,6539) = 24168144 / 1
LCM(3696,6539) = 24168144
Lets's calculate GCF of 455,581
7 | 455, 581 |
65, 83 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24168144/7
Therefore the LCM of Fractions 3696/455,6539/581 is 3452592
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 455,581 . The biggest common factor number is the GCF number.
So the greatest common factor 455,581 is 7.
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 3696/455, 6539/581?
Answer: LCM of Numerators as per given numbers 3696/455, 6539/581 is
LCM of Numerators i.e. for 3696,6539 is 24168144
GCF of denominators i.e. for 455,581 is 7.
Thus, LCM of Fractions is 3452592.Finally, LCM of Fractions for 3696/455, 6539/581 is 3452592.