Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3669/481, 3747/2169 quickly i.e. 4582581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3669/481, 3747/2169 is 4582581.
LCM(3669/481, 3747/2169) = 4582581
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3669/481,3747/2169
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 3669,3747
Least Common Multiple of Numerators i.e. LCM of 3669,3747 is 4582581.
GCF of Denominators means GCF of 481,2169 as per the given fractions.
GCF of 481,2169 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3669,3747
3 | 3669, 3747 |
1223, 1249 |
∴ So the LCM of the given numbers is 3 x 1223 x 1249 = 4582581
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 3669,3747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3669,3747) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3669,3747) x common factors =3 x 1 = 3
LCM(3669,3747) = ( 3669 × 3747 ) / 3
LCM(3669,3747) = 13747743 / 3
LCM(3669,3747) = 4582581
Lets's calculate GCF of 481,2169
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4582581/1
Therefore the LCM of Fractions 3669/481,3747/2169 is 4582581
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 2169
List of positive integer factors of 2169 that divides 2169 without a remainder.
1,3,9,241,723,2169
Greatest Common Factor
We found the factors 481,2169 . The biggest common factor number is the GCF number.
So the greatest common factor 481,2169 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 3669/481, 3747/2169?
Answer: LCM of Numerators as per given numbers 3669/481, 3747/2169 is
LCM of Numerators i.e. for 3669,3747 is 4582581
GCF of denominators i.e. for 481,2169 is 1.
Thus, LCM of Fractions is 4582581.Finally, LCM of Fractions for 3669/481, 3747/2169 is 4582581.