Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/618, 5/309 quickly i.e. 5/309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/618, 5/309 is 5/309.
LCM(1/618, 5/309) = 5/309
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/618,5/309
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 1,5
Least Common Multiple of Numerators i.e. LCM of 1,5 is 5.
GCF of Denominators means GCF of 618,309 as per the given fractions.
GCF of 618,309 is 309 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,5
Given numbers has no common factors except 1. So, there LCM is their product i.e 5
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 1,5 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,5) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,5) x common factors =1 x 1 = 1
LCM(1,5) = ( 1 × 5 ) / 1
LCM(1,5) = 5 / 1
LCM(1,5) = 5
Lets's calculate GCF of 618,309
3 | 618, 309 |
103 | 206, 103 |
2, 1 |
∴ So the GCF of the given numbers is 3 x 103 = 309
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5/309
Therefore the LCM of Fractions 1/618,5/309 is 5/309
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 618,309 . The biggest common factor number is the GCF number.
So the greatest common factor 618,309 is 309.
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 1/618, 5/309?
Answer: LCM of Numerators as per given numbers 1/618, 5/309 is
LCM of Numerators i.e. for 1,5 is 5
GCF of denominators i.e. for 618,309 is 309.
Thus, LCM of Fractions is 5/309.Finally, LCM of Fractions for 1/618, 5/309 is 5/309.