Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 566/19, 351/7581 quickly i.e. 198666/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 566/19, 351/7581 is 198666/19.
LCM(566/19, 351/7581) = 198666/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 566/19,351/7581
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 566,351
Least Common Multiple of Numerators i.e. LCM of 566,351 is 198666.
GCF of Denominators means GCF of 19,7581 as per the given fractions.
GCF of 19,7581 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 566,351
Given numbers has no common factors except 1. So, there LCM is their product i.e 198666
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 566,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,351) x common factors =1 x 1 = 1
LCM(566,351) = ( 566 × 351 ) / 1
LCM(566,351) = 198666 / 1
LCM(566,351) = 198666
Lets's calculate GCF of 19,7581
19 | 19, 7581 |
1, 399 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198666/19
Therefore the LCM of Fractions 566/19,351/7581 is 198666/19
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 7581
List of positive integer factors of 7581 that divides 7581 without a remainder.
1,3,7,19,21,57,133,361,399,1083,2527,7581
Greatest Common Factor
We found the factors 19,7581 . The biggest common factor number is the GCF number.
So the greatest common factor 19,7581 is 19.
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 566/19, 351/7581?
Answer: LCM of Numerators as per given numbers 566/19, 351/7581 is
LCM of Numerators i.e. for 566,351 is 198666
GCF of denominators i.e. for 19,7581 is 19.
Thus, LCM of Fractions is 198666/19.Finally, LCM of Fractions for 566/19, 351/7581 is 198666/19.