Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/511, 69/413 quickly i.e. 2208/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/511, 69/413 is 2208/7.
LCM(96/511, 69/413) = 2208/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/511,69/413
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 96,69
Least Common Multiple of Numerators i.e. LCM of 96,69 is 2208.
GCF of Denominators means GCF of 511,413 as per the given fractions.
GCF of 511,413 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,69
3 | 96, 69 |
32, 23 |
∴ So the LCM of the given numbers is 3 x 32 x 23 = 2208
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 96,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,69) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(96,69) x common factors =3 x 1 = 3
LCM(96,69) = ( 96 × 69 ) / 3
LCM(96,69) = 6624 / 3
LCM(96,69) = 2208
Lets's calculate GCF of 511,413
7 | 511, 413 |
73, 59 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2208/7
Therefore the LCM of Fractions 96/511,69/413 is 2208/7
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 511,413 . The biggest common factor number is the GCF number.
So the greatest common factor 511,413 is 7.
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 96/511, 69/413?
Answer: LCM of Numerators as per given numbers 96/511, 69/413 is
LCM of Numerators i.e. for 96,69 is 2208
GCF of denominators i.e. for 511,413 is 7.
Thus, LCM of Fractions is 2208/7.Finally, LCM of Fractions for 96/511, 69/413 is 2208/7.