Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/381, 96/771, 369/623 quickly i.e. 11808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/381, 96/771, 369/623 is 11808.
LCM(72/381, 96/771, 369/623) = 11808
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/381,96/771,369/623
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 72,96,369
Least Common Multiple of Numerators i.e. LCM of 72,96,369 is 11808.
GCF of Denominators means GCF of 381,771,623 as per the given fractions.
GCF of 381,771,623 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,96,369
2 | 72, 96, 369 |
2 | 36, 48, 369 |
2 | 18, 24, 369 |
3 | 9, 12, 369 |
3 | 3, 4, 123 |
1, 4, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 4 x 41 = 11808
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 72,96,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,96,369) = 3
common factors(in case of two or more numbers have common factors) = 72
GCF(72,96,369) x common factors =3 x 72 = 216
LCM(72,96,369) = ( 72 × 96 × 369 ) / 216
LCM(72,96,369) = 2550528 / 216
LCM(72,96,369) = 11808
Lets's calculate GCF of 381,771,623
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11808/1
Therefore the LCM of Fractions 72/381,96/771,369/623 is 11808
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Greatest Common Factor
We found the factors 381,771,623 . The biggest common factor number is the GCF number.
So the greatest common factor 381,771,623 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 72/381, 96/771, 369/623?
Answer: LCM of Numerators as per given numbers 72/381, 96/771, 369/623 is
LCM of Numerators i.e. for 72,96,369 is 11808
GCF of denominators i.e. for 381,771,623 is 1.
Thus, LCM of Fractions is 11808.Finally, LCM of Fractions for 72/381, 96/771, 369/623 is 11808.