Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/69, 568/7533 quickly i.e. 273208/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/69, 568/7533 is 273208/3.
LCM(481/69, 568/7533) = 273208/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/69,568/7533
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 481,568
Least Common Multiple of Numerators i.e. LCM of 481,568 is 273208.
GCF of Denominators means GCF of 69,7533 as per the given fractions.
GCF of 69,7533 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 273208
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 481,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,568) x common factors =1 x 1 = 1
LCM(481,568) = ( 481 × 568 ) / 1
LCM(481,568) = 273208 / 1
LCM(481,568) = 273208
Lets's calculate GCF of 69,7533
3 | 69, 7533 |
23, 2511 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273208/3
Therefore the LCM of Fractions 481/69,568/7533 is 273208/3
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 7533
List of positive integer factors of 7533 that divides 7533 without a remainder.
1,3,9,27,31,81,93,243,279,837,2511,7533
Greatest Common Factor
We found the factors 69,7533 . The biggest common factor number is the GCF number.
So the greatest common factor 69,7533 is 3.
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 481/69, 568/7533?
Answer: LCM of Numerators as per given numbers 481/69, 568/7533 is
LCM of Numerators i.e. for 481,568 is 273208
GCF of denominators i.e. for 69,7533 is 3.
Thus, LCM of Fractions is 273208/3.Finally, LCM of Fractions for 481/69, 568/7533 is 273208/3.