Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 192/839, 411/782 quickly i.e. 26304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 192/839, 411/782 is 26304.
LCM(192/839, 411/782) = 26304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 192/839,411/782
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 192,411
Least Common Multiple of Numerators i.e. LCM of 192,411 is 26304.
GCF of Denominators means GCF of 839,782 as per the given fractions.
GCF of 839,782 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 192,411
3 | 192, 411 |
64, 137 |
∴ So the LCM of the given numbers is 3 x 64 x 137 = 26304
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 192,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,411) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(192,411) x common factors =3 x 1 = 3
LCM(192,411) = ( 192 × 411 ) / 3
LCM(192,411) = 78912 / 3
LCM(192,411) = 26304
Lets's calculate GCF of 839,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26304/1
Therefore the LCM of Fractions 192/839,411/782 is 26304
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 839,782 . The biggest common factor number is the GCF number.
So the greatest common factor 839,782 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 192/839, 411/782?
Answer: LCM of Numerators as per given numbers 192/839, 411/782 is
LCM of Numerators i.e. for 192,411 is 26304
GCF of denominators i.e. for 839,782 is 1.
Thus, LCM of Fractions is 26304.Finally, LCM of Fractions for 192/839, 411/782 is 26304.