Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5501/111, 2075/387 quickly i.e. 11414575/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5501/111, 2075/387 is 11414575/3.
LCM(5501/111, 2075/387) = 11414575/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5501/111,2075/387
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 5501,2075
Least Common Multiple of Numerators i.e. LCM of 5501,2075 is 11414575.
GCF of Denominators means GCF of 111,387 as per the given fractions.
GCF of 111,387 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5501,2075
Given numbers has no common factors except 1. So, there LCM is their product i.e 11414575
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 5501,2075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5501,2075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5501,2075) x common factors =1 x 1 = 1
LCM(5501,2075) = ( 5501 × 2075 ) / 1
LCM(5501,2075) = 11414575 / 1
LCM(5501,2075) = 11414575
Lets's calculate GCF of 111,387
3 | 111, 387 |
37, 129 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11414575/3
Therefore the LCM of Fractions 5501/111,2075/387 is 11414575/3
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 111,387 . The biggest common factor number is the GCF number.
So the greatest common factor 111,387 is 3.
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 5501/111, 2075/387?
Answer: LCM of Numerators as per given numbers 5501/111, 2075/387 is
LCM of Numerators i.e. for 5501,2075 is 11414575
GCF of denominators i.e. for 111,387 is 3.
Thus, LCM of Fractions is 11414575/3.Finally, LCM of Fractions for 5501/111, 2075/387 is 11414575/3.