Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 557/317, 4074/352 quickly i.e. 2269218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 557/317, 4074/352 is 2269218.
LCM(557/317, 4074/352) = 2269218
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 557/317,4074/352
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 557,4074
Least Common Multiple of Numerators i.e. LCM of 557,4074 is 2269218.
GCF of Denominators means GCF of 317,352 as per the given fractions.
GCF of 317,352 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 557,4074
Given numbers has no common factors except 1. So, there LCM is their product i.e 2269218
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 557,4074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,4074) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,4074) x common factors =1 x 1 = 1
LCM(557,4074) = ( 557 × 4074 ) / 1
LCM(557,4074) = 2269218 / 1
LCM(557,4074) = 2269218
Lets's calculate GCF of 317,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2269218/1
Therefore the LCM of Fractions 557/317,4074/352 is 2269218
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 317,352 . The biggest common factor number is the GCF number.
So the greatest common factor 317,352 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 557/317, 4074/352?
Answer: LCM of Numerators as per given numbers 557/317, 4074/352 is
LCM of Numerators i.e. for 557,4074 is 2269218
GCF of denominators i.e. for 317,352 is 1.
Thus, LCM of Fractions is 2269218.Finally, LCM of Fractions for 557/317, 4074/352 is 2269218.