Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 432/20, 511/4155 quickly i.e. 220752/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 432/20, 511/4155 is 220752/5.
LCM(432/20, 511/4155) = 220752/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 432/20,511/4155
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 432,511
Least Common Multiple of Numerators i.e. LCM of 432,511 is 220752.
GCF of Denominators means GCF of 20,4155 as per the given fractions.
GCF of 20,4155 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 432,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 220752
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 432,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,511) x common factors =1 x 1 = 1
LCM(432,511) = ( 432 × 511 ) / 1
LCM(432,511) = 220752 / 1
LCM(432,511) = 220752
Lets's calculate GCF of 20,4155
5 | 20, 4155 |
4, 831 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220752/5
Therefore the LCM of Fractions 432/20,511/4155 is 220752/5
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 4155
List of positive integer factors of 4155 that divides 4155 without a remainder.
1,3,5,15,277,831,1385,4155
Greatest Common Factor
We found the factors 20,4155 . The biggest common factor number is the GCF number.
So the greatest common factor 20,4155 is 5.
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 432/20, 511/4155?
Answer: LCM of Numerators as per given numbers 432/20, 511/4155 is
LCM of Numerators i.e. for 432,511 is 220752
GCF of denominators i.e. for 20,4155 is 5.
Thus, LCM of Fractions is 220752/5.Finally, LCM of Fractions for 432/20, 511/4155 is 220752/5.