Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 361/79, 491/9296 quickly i.e. 177251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 361/79, 491/9296 is 177251.
LCM(361/79, 491/9296) = 177251
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 361/79,491/9296
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 361,491
Least Common Multiple of Numerators i.e. LCM of 361,491 is 177251.
GCF of Denominators means GCF of 79,9296 as per the given fractions.
GCF of 79,9296 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 361,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 177251
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 361,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,491) x common factors =1 x 1 = 1
LCM(361,491) = ( 361 × 491 ) / 1
LCM(361,491) = 177251 / 1
LCM(361,491) = 177251
Lets's calculate GCF of 79,9296
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177251/1
Therefore the LCM of Fractions 361/79,491/9296 is 177251
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 9296
List of positive integer factors of 9296 that divides 9296 without a remainder.
1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296
Greatest Common Factor
We found the factors 79,9296 . The biggest common factor number is the GCF number.
So the greatest common factor 79,9296 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 361/79, 491/9296?
Answer: LCM of Numerators as per given numbers 361/79, 491/9296 is
LCM of Numerators i.e. for 361,491 is 177251
GCF of denominators i.e. for 79,9296 is 1.
Thus, LCM of Fractions is 177251.Finally, LCM of Fractions for 361/79, 491/9296 is 177251.