Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9577/835, 3422/991 quickly i.e. 32772494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9577/835, 3422/991 is 32772494.
LCM(9577/835, 3422/991) = 32772494
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9577/835,3422/991
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 9577,3422
Least Common Multiple of Numerators i.e. LCM of 9577,3422 is 32772494.
GCF of Denominators means GCF of 835,991 as per the given fractions.
GCF of 835,991 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9577,3422
Given numbers has no common factors except 1. So, there LCM is their product i.e 32772494
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 9577,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9577,3422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9577,3422) x common factors =1 x 1 = 1
LCM(9577,3422) = ( 9577 × 3422 ) / 1
LCM(9577,3422) = 32772494 / 1
LCM(9577,3422) = 32772494
Lets's calculate GCF of 835,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32772494/1
Therefore the LCM of Fractions 9577/835,3422/991 is 32772494
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 835,991 . The biggest common factor number is the GCF number.
So the greatest common factor 835,991 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 9577/835, 3422/991?
Answer: LCM of Numerators as per given numbers 9577/835, 3422/991 is
LCM of Numerators i.e. for 9577,3422 is 32772494
GCF of denominators i.e. for 835,991 is 1.
Thus, LCM of Fractions is 32772494.Finally, LCM of Fractions for 9577/835, 3422/991 is 32772494.