Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3287/111, 3523/1573 quickly i.e. 11580101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3287/111, 3523/1573 is 11580101.
LCM(3287/111, 3523/1573) = 11580101
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3287/111,3523/1573
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 3287,3523
Least Common Multiple of Numerators i.e. LCM of 3287,3523 is 11580101.
GCF of Denominators means GCF of 111,1573 as per the given fractions.
GCF of 111,1573 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3287,3523
Given numbers has no common factors except 1. So, there LCM is their product i.e 11580101
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 3287,3523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3287,3523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3287,3523) x common factors =1 x 1 = 1
LCM(3287,3523) = ( 3287 × 3523 ) / 1
LCM(3287,3523) = 11580101 / 1
LCM(3287,3523) = 11580101
Lets's calculate GCF of 111,1573
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11580101/1
Therefore the LCM of Fractions 3287/111,3523/1573 is 11580101
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 1573
List of positive integer factors of 1573 that divides 1573 without a remainder.
1,11,13,121,143,1573
Greatest Common Factor
We found the factors 111,1573 . The biggest common factor number is the GCF number.
So the greatest common factor 111,1573 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 3287/111, 3523/1573?
Answer: LCM of Numerators as per given numbers 3287/111, 3523/1573 is
LCM of Numerators i.e. for 3287,3523 is 11580101
GCF of denominators i.e. for 111,1573 is 1.
Thus, LCM of Fractions is 11580101.Finally, LCM of Fractions for 3287/111, 3523/1573 is 11580101.