Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/882, 377/820, 395/860 quickly i.e. 12359945/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/882, 377/820, 395/860 is 12359945/2.
LCM(83/882, 377/820, 395/860) = 12359945/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/882,377/820,395/860
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 83,377,395
Least Common Multiple of Numerators i.e. LCM of 83,377,395 is 12359945.
GCF of Denominators means GCF of 882,820,860 as per the given fractions.
GCF of 882,820,860 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,377,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 12359945
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 83,377,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,377,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,377,395) x common factors =1 x 1 = 1
LCM(83,377,395) = ( 83 × 377 × 395 ) / 1
LCM(83,377,395) = 12359945 / 1
LCM(83,377,395) = 12359945
Lets's calculate GCF of 882,820,860
2 | 882, 820, 860 |
441, 410, 430 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12359945/2
Therefore the LCM of Fractions 83/882,377/820,395/860 is 12359945/2
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 882,820,860 . The biggest common factor number is the GCF number.
So the greatest common factor 882,820,860 is 2.
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 83/882, 377/820, 395/860?
Answer: LCM of Numerators as per given numbers 83/882, 377/820, 395/860 is
LCM of Numerators i.e. for 83,377,395 is 12359945
GCF of denominators i.e. for 882,820,860 is 2.
Thus, LCM of Fractions is 12359945/2.Finally, LCM of Fractions for 83/882, 377/820, 395/860 is 12359945/2.