Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 361/177, 9822/191 quickly i.e. 3545742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 361/177, 9822/191 is 3545742.
LCM(361/177, 9822/191) = 3545742
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 361/177,9822/191
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 361,9822
Least Common Multiple of Numerators i.e. LCM of 361,9822 is 3545742.
GCF of Denominators means GCF of 177,191 as per the given fractions.
GCF of 177,191 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 361,9822
Given numbers has no common factors except 1. So, there LCM is their product i.e 3545742
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 361,9822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,9822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,9822) x common factors =1 x 1 = 1
LCM(361,9822) = ( 361 × 9822 ) / 1
LCM(361,9822) = 3545742 / 1
LCM(361,9822) = 3545742
Lets's calculate GCF of 177,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3545742/1
Therefore the LCM of Fractions 361/177,9822/191 is 3545742
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Greatest Common Factor
We found the factors 177,191 . The biggest common factor number is the GCF number.
So the greatest common factor 177,191 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 361/177, 9822/191?
Answer: LCM of Numerators as per given numbers 361/177, 9822/191 is
LCM of Numerators i.e. for 361,9822 is 3545742
GCF of denominators i.e. for 177,191 is 1.
Thus, LCM of Fractions is 3545742.Finally, LCM of Fractions for 361/177, 9822/191 is 3545742.