Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 319/82, 990/4972 quickly i.e. 14355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 319/82, 990/4972 is 14355.
LCM(319/82, 990/4972) = 14355
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 319/82,990/4972
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 319,990
Least Common Multiple of Numerators i.e. LCM of 319,990 is 28710.
GCF of Denominators means GCF of 82,4972 as per the given fractions.
GCF of 82,4972 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 319,990
11 | 319, 990 |
29, 90 |
∴ So the LCM of the given numbers is 11 x 29 x 90 = 28710
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 319,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,990) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(319,990) x common factors =11 x 1 = 11
LCM(319,990) = ( 319 × 990 ) / 11
LCM(319,990) = 315810 / 11
LCM(319,990) = 28710
Lets's calculate GCF of 82,4972
2 | 82, 4972 |
41, 2486 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28710/2
Therefore the LCM of Fractions 319/82,990/4972 is 14355
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 4972
List of positive integer factors of 4972 that divides 4972 without a remainder.
1,2,4,11,22,44,113,226,452,1243,2486,4972
Greatest Common Factor
We found the factors 82,4972 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4972 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 319/82, 990/4972?
Answer: LCM of Numerators as per given numbers 319/82, 990/4972 is
LCM of Numerators i.e. for 319,990 is 28710
GCF of denominators i.e. for 82,4972 is 2.
Thus, LCM of Fractions is 14355.Finally, LCM of Fractions for 319/82, 990/4972 is 14355.