Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 775/835, 9213/4462 quickly i.e. 7140075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 775/835, 9213/4462 is 7140075.
LCM(775/835, 9213/4462) = 7140075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 775/835,9213/4462
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 775,9213
Least Common Multiple of Numerators i.e. LCM of 775,9213 is 7140075.
GCF of Denominators means GCF of 835,4462 as per the given fractions.
GCF of 835,4462 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 775,9213
Given numbers has no common factors except 1. So, there LCM is their product i.e 7140075
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 775,9213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,9213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,9213) x common factors =1 x 1 = 1
LCM(775,9213) = ( 775 × 9213 ) / 1
LCM(775,9213) = 7140075 / 1
LCM(775,9213) = 7140075
Lets's calculate GCF of 835,4462
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7140075/1
Therefore the LCM of Fractions 775/835,9213/4462 is 7140075
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 4462
List of positive integer factors of 4462 that divides 4462 without a remainder.
1,2,23,46,97,194,2231,4462
Greatest Common Factor
We found the factors 835,4462 . The biggest common factor number is the GCF number.
So the greatest common factor 835,4462 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 775/835, 9213/4462?
Answer: LCM of Numerators as per given numbers 775/835, 9213/4462 is
LCM of Numerators i.e. for 775,9213 is 7140075
GCF of denominators i.e. for 835,4462 is 1.
Thus, LCM of Fractions is 7140075.Finally, LCM of Fractions for 775/835, 9213/4462 is 7140075.