Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5571/318, 1514/318 quickly i.e. 8434494/318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5571/318, 1514/318 is 8434494/318.
LCM(5571/318, 1514/318) = 8434494/318
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5571/318,1514/318
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 5571,1514
Least Common Multiple of Numerators i.e. LCM of 5571,1514 is 8434494.
GCF of Denominators means GCF of 318,318 as per the given fractions.
GCF of 318,318 is 318 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5571,1514
Given numbers has no common factors except 1. So, there LCM is their product i.e 8434494
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 5571,1514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5571,1514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5571,1514) x common factors =1 x 1 = 1
LCM(5571,1514) = ( 5571 × 1514 ) / 1
LCM(5571,1514) = 8434494 / 1
LCM(5571,1514) = 8434494
Lets's calculate GCF of 318,318
2 | 318, 318 |
3 | 159, 159 |
53 | 53, 53 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 3 x 53 = 318
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8434494/318
Therefore the LCM of Fractions 5571/318,1514/318 is 8434494/318
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 318,318 . The biggest common factor number is the GCF number.
So the greatest common factor 318,318 is 318.
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 5571/318, 1514/318?
Answer: LCM of Numerators as per given numbers 5571/318, 1514/318 is
LCM of Numerators i.e. for 5571,1514 is 8434494
GCF of denominators i.e. for 318,318 is 318.
Thus, LCM of Fractions is 8434494/318.Finally, LCM of Fractions for 5571/318, 1514/318 is 8434494/318.