Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7521/254, 3326/7483 quickly i.e. 25014846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7521/254, 3326/7483 is 25014846.
LCM(7521/254, 3326/7483) = 25014846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7521/254,3326/7483
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 7521,3326
Least Common Multiple of Numerators i.e. LCM of 7521,3326 is 25014846.
GCF of Denominators means GCF of 254,7483 as per the given fractions.
GCF of 254,7483 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7521,3326
Given numbers has no common factors except 1. So, there LCM is their product i.e 25014846
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 7521,3326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7521,3326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7521,3326) x common factors =1 x 1 = 1
LCM(7521,3326) = ( 7521 × 3326 ) / 1
LCM(7521,3326) = 25014846 / 1
LCM(7521,3326) = 25014846
Lets's calculate GCF of 254,7483
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25014846/1
Therefore the LCM of Fractions 7521/254,3326/7483 is 25014846
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 7483
List of positive integer factors of 7483 that divides 7483 without a remainder.
1,7,1069,7483
Greatest Common Factor
We found the factors 254,7483 . The biggest common factor number is the GCF number.
So the greatest common factor 254,7483 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 7521/254, 3326/7483?
Answer: LCM of Numerators as per given numbers 7521/254, 3326/7483 is
LCM of Numerators i.e. for 7521,3326 is 25014846
GCF of denominators i.e. for 254,7483 is 1.
Thus, LCM of Fractions is 25014846.Finally, LCM of Fractions for 7521/254, 3326/7483 is 25014846.