Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 904/121, 8011/7125 quickly i.e. 7241944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 904/121, 8011/7125 is 7241944.
LCM(904/121, 8011/7125) = 7241944
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 904/121,8011/7125
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 904,8011
Least Common Multiple of Numerators i.e. LCM of 904,8011 is 7241944.
GCF of Denominators means GCF of 121,7125 as per the given fractions.
GCF of 121,7125 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 904,8011
Given numbers has no common factors except 1. So, there LCM is their product i.e 7241944
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 904,8011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,8011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,8011) x common factors =1 x 1 = 1
LCM(904,8011) = ( 904 × 8011 ) / 1
LCM(904,8011) = 7241944 / 1
LCM(904,8011) = 7241944
Lets's calculate GCF of 121,7125
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7241944/1
Therefore the LCM of Fractions 904/121,8011/7125 is 7241944
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 7125
List of positive integer factors of 7125 that divides 7125 without a remainder.
1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Greatest Common Factor
We found the factors 121,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 121,7125 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 904/121, 8011/7125?
Answer: LCM of Numerators as per given numbers 904/121, 8011/7125 is
LCM of Numerators i.e. for 904,8011 is 7241944
GCF of denominators i.e. for 121,7125 is 1.
Thus, LCM of Fractions is 7241944.Finally, LCM of Fractions for 904/121, 8011/7125 is 7241944.