Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/467, 3928/4643 quickly i.e. 58920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/467, 3928/4643 is 58920.
LCM(30/467, 3928/4643) = 58920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/467,3928/4643
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 30,3928
Least Common Multiple of Numerators i.e. LCM of 30,3928 is 58920.
GCF of Denominators means GCF of 467,4643 as per the given fractions.
GCF of 467,4643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,3928
2 | 30, 3928 |
15, 1964 |
∴ So the LCM of the given numbers is 2 x 15 x 1964 = 58920
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 30,3928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,3928) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(30,3928) x common factors =2 x 1 = 2
LCM(30,3928) = ( 30 × 3928 ) / 2
LCM(30,3928) = 117840 / 2
LCM(30,3928) = 58920
Lets's calculate GCF of 467,4643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58920/1
Therefore the LCM of Fractions 30/467,3928/4643 is 58920
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 4643
List of positive integer factors of 4643 that divides 4643 without a remainder.
1,4643
Greatest Common Factor
We found the factors 467,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 467,4643 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 30/467, 3928/4643?
Answer: LCM of Numerators as per given numbers 30/467, 3928/4643 is
LCM of Numerators i.e. for 30,3928 is 58920
GCF of denominators i.e. for 467,4643 is 1.
Thus, LCM of Fractions is 58920.Finally, LCM of Fractions for 30/467, 3928/4643 is 58920.