Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/794, 8011/3058 quickly i.e. 288396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/794, 8011/3058 is 288396.
LCM(72/794, 8011/3058) = 288396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/794,8011/3058
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 72,8011
Least Common Multiple of Numerators i.e. LCM of 72,8011 is 576792.
GCF of Denominators means GCF of 794,3058 as per the given fractions.
GCF of 794,3058 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,8011
Given numbers has no common factors except 1. So, there LCM is their product i.e 576792
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 72,8011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,8011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,8011) x common factors =1 x 1 = 1
LCM(72,8011) = ( 72 × 8011 ) / 1
LCM(72,8011) = 576792 / 1
LCM(72,8011) = 576792
Lets's calculate GCF of 794,3058
2 | 794, 3058 |
397, 1529 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576792/2
Therefore the LCM of Fractions 72/794,8011/3058 is 288396
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 3058
List of positive integer factors of 3058 that divides 3058 without a remainder.
1,2,11,22,139,278,1529,3058
Greatest Common Factor
We found the factors 794,3058 . The biggest common factor number is the GCF number.
So the greatest common factor 794,3058 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 72/794, 8011/3058?
Answer: LCM of Numerators as per given numbers 72/794, 8011/3058 is
LCM of Numerators i.e. for 72,8011 is 576792
GCF of denominators i.e. for 794,3058 is 2.
Thus, LCM of Fractions is 288396.Finally, LCM of Fractions for 72/794, 8011/3058 is 288396.