Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 319/998, 3913/2664 quickly i.e. 1248247/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 319/998, 3913/2664 is 1248247/2.
LCM(319/998, 3913/2664) = 1248247/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 319/998,3913/2664
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 319,3913
Least Common Multiple of Numerators i.e. LCM of 319,3913 is 1248247.
GCF of Denominators means GCF of 998,2664 as per the given fractions.
GCF of 998,2664 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 319,3913
Given numbers has no common factors except 1. So, there LCM is their product i.e 1248247
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 319,3913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,3913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,3913) x common factors =1 x 1 = 1
LCM(319,3913) = ( 319 × 3913 ) / 1
LCM(319,3913) = 1248247 / 1
LCM(319,3913) = 1248247
Lets's calculate GCF of 998,2664
2 | 998, 2664 |
499, 1332 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1248247/2
Therefore the LCM of Fractions 319/998,3913/2664 is 1248247/2
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 2664
List of positive integer factors of 2664 that divides 2664 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664
Greatest Common Factor
We found the factors 998,2664 . The biggest common factor number is the GCF number.
So the greatest common factor 998,2664 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 319/998, 3913/2664?
Answer: LCM of Numerators as per given numbers 319/998, 3913/2664 is
LCM of Numerators i.e. for 319,3913 is 1248247
GCF of denominators i.e. for 998,2664 is 2.
Thus, LCM of Fractions is 1248247/2.Finally, LCM of Fractions for 319/998, 3913/2664 is 1248247/2.