Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 557/13, 994/966 quickly i.e. 553658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 557/13, 994/966 is 553658.
LCM(557/13, 994/966) = 553658
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 557/13,994/966
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 557,994
Least Common Multiple of Numerators i.e. LCM of 557,994 is 553658.
GCF of Denominators means GCF of 13,966 as per the given fractions.
GCF of 13,966 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 557,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 553658
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 557,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,994) x common factors =1 x 1 = 1
LCM(557,994) = ( 557 × 994 ) / 1
LCM(557,994) = 553658 / 1
LCM(557,994) = 553658
Lets's calculate GCF of 13,966
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 553658/1
Therefore the LCM of Fractions 557/13,994/966 is 553658
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 13,966 . The biggest common factor number is the GCF number.
So the greatest common factor 13,966 is 1.
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 557/13, 994/966?
Answer: LCM of Numerators as per given numbers 557/13, 994/966 is
LCM of Numerators i.e. for 557,994 is 553658
GCF of denominators i.e. for 13,966 is 1.
Thus, LCM of Fractions is 553658.Finally, LCM of Fractions for 557/13, 994/966 is 553658.