Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 446/192, 913/707, 649/839 quickly i.e. 24024682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 446/192, 913/707, 649/839 is 24024682.
LCM(446/192, 913/707, 649/839) = 24024682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 446/192,913/707,649/839
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 446,913,649
Least Common Multiple of Numerators i.e. LCM of 446,913,649 is 24024682.
GCF of Denominators means GCF of 192,707,839 as per the given fractions.
GCF of 192,707,839 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 446,913,649
11 | 446, 913, 649 |
446, 83, 59 |
∴ So the LCM of the given numbers is 11 x 446 x 83 x 59 = 24024682
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 446,913,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,913,649) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(446,913,649) x common factors =1 x 11 = 11
LCM(446,913,649) = ( 446 × 913 × 649 ) / 11
LCM(446,913,649) = 264271502 / 11
LCM(446,913,649) = 24024682
Lets's calculate GCF of 192,707,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24024682/1
Therefore the LCM of Fractions 446/192,913/707,649/839 is 24024682
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Greatest Common Factor
We found the factors 192,707,839 . The biggest common factor number is the GCF number.
So the greatest common factor 192,707,839 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 446/192, 913/707, 649/839?
Answer: LCM of Numerators as per given numbers 446/192, 913/707, 649/839 is
LCM of Numerators i.e. for 446,913,649 is 24024682
GCF of denominators i.e. for 192,707,839 is 1.
Thus, LCM of Fractions is 24024682.Finally, LCM of Fractions for 446/192, 913/707, 649/839 is 24024682.