Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/819, 41/986, 363/939 quickly i.e. 104181 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/819, 41/986, 363/939 is 104181.
LCM(77/819, 41/986, 363/939) = 104181
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/819,41/986,363/939
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 77,41,363
Least Common Multiple of Numerators i.e. LCM of 77,41,363 is 104181.
GCF of Denominators means GCF of 819,986,939 as per the given fractions.
GCF of 819,986,939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,41,363
11 | 77, 41, 363 |
7, 41, 33 |
∴ So the LCM of the given numbers is 11 x 7 x 41 x 33 = 104181
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 77,41,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,41,363) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(77,41,363) x common factors =1 x 11 = 11
LCM(77,41,363) = ( 77 × 41 × 363 ) / 11
LCM(77,41,363) = 1145991 / 11
LCM(77,41,363) = 104181
Lets's calculate GCF of 819,986,939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104181/1
Therefore the LCM of Fractions 77/819,41/986,363/939 is 104181
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 819,986,939 . The biggest common factor number is the GCF number.
So the greatest common factor 819,986,939 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 77/819, 41/986, 363/939?
Answer: LCM of Numerators as per given numbers 77/819, 41/986, 363/939 is
LCM of Numerators i.e. for 77,41,363 is 104181
GCF of denominators i.e. for 819,986,939 is 1.
Thus, LCM of Fractions is 104181.Finally, LCM of Fractions for 77/819, 41/986, 363/939 is 104181.