Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/319, 7205/5868 quickly i.e. 223355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/319, 7205/5868 is 223355.
LCM(31/319, 7205/5868) = 223355
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/319,7205/5868
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 31,7205
Least Common Multiple of Numerators i.e. LCM of 31,7205 is 223355.
GCF of Denominators means GCF of 319,5868 as per the given fractions.
GCF of 319,5868 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,7205
Given numbers has no common factors except 1. So, there LCM is their product i.e 223355
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 31,7205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,7205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,7205) x common factors =1 x 1 = 1
LCM(31,7205) = ( 31 × 7205 ) / 1
LCM(31,7205) = 223355 / 1
LCM(31,7205) = 223355
Lets's calculate GCF of 319,5868
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223355/1
Therefore the LCM of Fractions 31/319,7205/5868 is 223355
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 5868
List of positive integer factors of 5868 that divides 5868 without a remainder.
1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868
Greatest Common Factor
We found the factors 319,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 319,5868 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 31/319, 7205/5868?
Answer: LCM of Numerators as per given numbers 31/319, 7205/5868 is
LCM of Numerators i.e. for 31,7205 is 223355
GCF of denominators i.e. for 319,5868 is 1.
Thus, LCM of Fractions is 223355.Finally, LCM of Fractions for 31/319, 7205/5868 is 223355.