Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 939/463, 438/686, 445/976 quickly i.e. 61006830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 939/463, 438/686, 445/976 is 61006830.
LCM(939/463, 438/686, 445/976) = 61006830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 939/463,438/686,445/976
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 939,438,445
Least Common Multiple of Numerators i.e. LCM of 939,438,445 is 61006830.
GCF of Denominators means GCF of 463,686,976 as per the given fractions.
GCF of 463,686,976 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 939,438,445
3 | 939, 438, 445 |
313, 146, 445 |
∴ So the LCM of the given numbers is 3 x 313 x 146 x 445 = 61006830
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 939,438,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,438,445) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(939,438,445) x common factors =1 x 3 = 3
LCM(939,438,445) = ( 939 × 438 × 445 ) / 3
LCM(939,438,445) = 183020490 / 3
LCM(939,438,445) = 61006830
Lets's calculate GCF of 463,686,976
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61006830/1
Therefore the LCM of Fractions 939/463,438/686,445/976 is 61006830
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 463,686,976 . The biggest common factor number is the GCF number.
So the greatest common factor 463,686,976 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 939/463, 438/686, 445/976?
Answer: LCM of Numerators as per given numbers 939/463, 438/686, 445/976 is
LCM of Numerators i.e. for 939,438,445 is 61006830
GCF of denominators i.e. for 463,686,976 is 1.
Thus, LCM of Fractions is 61006830.Finally, LCM of Fractions for 939/463, 438/686, 445/976 is 61006830.