Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3755/541, 7575/7482 quickly i.e. 5688825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3755/541, 7575/7482 is 5688825.
LCM(3755/541, 7575/7482) = 5688825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3755/541,7575/7482
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 3755,7575
Least Common Multiple of Numerators i.e. LCM of 3755,7575 is 5688825.
GCF of Denominators means GCF of 541,7482 as per the given fractions.
GCF of 541,7482 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3755,7575
5 | 3755, 7575 |
751, 1515 |
∴ So the LCM of the given numbers is 5 x 751 x 1515 = 5688825
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 3755,7575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3755,7575) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(3755,7575) x common factors =5 x 1 = 5
LCM(3755,7575) = ( 3755 × 7575 ) / 5
LCM(3755,7575) = 28444125 / 5
LCM(3755,7575) = 5688825
Lets's calculate GCF of 541,7482
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5688825/1
Therefore the LCM of Fractions 3755/541,7575/7482 is 5688825
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 7482
List of positive integer factors of 7482 that divides 7482 without a remainder.
1,2,3,6,29,43,58,86,87,129,174,258,1247,2494,3741,7482
Greatest Common Factor
We found the factors 541,7482 . The biggest common factor number is the GCF number.
So the greatest common factor 541,7482 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 3755/541, 7575/7482?
Answer: LCM of Numerators as per given numbers 3755/541, 7575/7482 is
LCM of Numerators i.e. for 3755,7575 is 5688825
GCF of denominators i.e. for 541,7482 is 1.
Thus, LCM of Fractions is 5688825.Finally, LCM of Fractions for 3755/541, 7575/7482 is 5688825.