Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/618, 257/530, 477/485 quickly i.e. 1593657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/618, 257/530, 477/485 is 1593657.
LCM(13/618, 257/530, 477/485) = 1593657
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/618,257/530,477/485
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 13,257,477
Least Common Multiple of Numerators i.e. LCM of 13,257,477 is 1593657.
GCF of Denominators means GCF of 618,530,485 as per the given fractions.
GCF of 618,530,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,257,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 1593657
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 13,257,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,257,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,257,477) x common factors =1 x 1 = 1
LCM(13,257,477) = ( 13 × 257 × 477 ) / 1
LCM(13,257,477) = 1593657 / 1
LCM(13,257,477) = 1593657
Lets's calculate GCF of 618,530,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1593657/1
Therefore the LCM of Fractions 13/618,257/530,477/485 is 1593657
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 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 618,530,485 . The biggest common factor number is the GCF number.
So the greatest common factor 618,530,485 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 13/618, 257/530, 477/485?
Answer: LCM of Numerators as per given numbers 13/618, 257/530, 477/485 is
LCM of Numerators i.e. for 13,257,477 is 1593657
GCF of denominators i.e. for 618,530,485 is 1.
Thus, LCM of Fractions is 1593657.Finally, LCM of Fractions for 13/618, 257/530, 477/485 is 1593657.