Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 732/121, 3621/433 quickly i.e. 883524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 732/121, 3621/433 is 883524.
LCM(732/121, 3621/433) = 883524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 732/121,3621/433
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 732,3621
Least Common Multiple of Numerators i.e. LCM of 732,3621 is 883524.
GCF of Denominators means GCF of 121,433 as per the given fractions.
GCF of 121,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 732,3621
3 | 732, 3621 |
244, 1207 |
∴ So the LCM of the given numbers is 3 x 244 x 1207 = 883524
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 732,3621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,3621) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(732,3621) x common factors =3 x 1 = 3
LCM(732,3621) = ( 732 × 3621 ) / 3
LCM(732,3621) = 2650572 / 3
LCM(732,3621) = 883524
Lets's calculate GCF of 121,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 883524/1
Therefore the LCM of Fractions 732/121,3621/433 is 883524
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 121,433 . The biggest common factor number is the GCF number.
So the greatest common factor 121,433 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 732/121, 3621/433?
Answer: LCM of Numerators as per given numbers 732/121, 3621/433 is
LCM of Numerators i.e. for 732,3621 is 883524
GCF of denominators i.e. for 121,433 is 1.
Thus, LCM of Fractions is 883524.Finally, LCM of Fractions for 732/121, 3621/433 is 883524.