Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5485/201, 4205/5636 quickly i.e. 4612885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5485/201, 4205/5636 is 4612885.
LCM(5485/201, 4205/5636) = 4612885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5485/201,4205/5636
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 5485,4205
Least Common Multiple of Numerators i.e. LCM of 5485,4205 is 4612885.
GCF of Denominators means GCF of 201,5636 as per the given fractions.
GCF of 201,5636 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5485,4205
5 | 5485, 4205 |
1097, 841 |
∴ So the LCM of the given numbers is 5 x 1097 x 841 = 4612885
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 5485,4205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5485,4205) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(5485,4205) x common factors =5 x 1 = 5
LCM(5485,4205) = ( 5485 × 4205 ) / 5
LCM(5485,4205) = 23064425 / 5
LCM(5485,4205) = 4612885
Lets's calculate GCF of 201,5636
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4612885/1
Therefore the LCM of Fractions 5485/201,4205/5636 is 4612885
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 5636
List of positive integer factors of 5636 that divides 5636 without a remainder.
1,2,4,1409,2818,5636
Greatest Common Factor
We found the factors 201,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 201,5636 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 5485/201, 4205/5636?
Answer: LCM of Numerators as per given numbers 5485/201, 4205/5636 is
LCM of Numerators i.e. for 5485,4205 is 4612885
GCF of denominators i.e. for 201,5636 is 1.
Thus, LCM of Fractions is 4612885.Finally, LCM of Fractions for 5485/201, 4205/5636 is 4612885.