Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/389, 417/704, 188/410 quickly i.e. 7134036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/389, 417/704, 188/410 is 7134036.
LCM(91/389, 417/704, 188/410) = 7134036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/389,417/704,188/410
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 91,417,188
Least Common Multiple of Numerators i.e. LCM of 91,417,188 is 7134036.
GCF of Denominators means GCF of 389,704,410 as per the given fractions.
GCF of 389,704,410 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,417,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 7134036
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 91,417,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,417,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,417,188) x common factors =1 x 1 = 1
LCM(91,417,188) = ( 91 × 417 × 188 ) / 1
LCM(91,417,188) = 7134036 / 1
LCM(91,417,188) = 7134036
Lets's calculate GCF of 389,704,410
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7134036/1
Therefore the LCM of Fractions 91/389,417/704,188/410 is 7134036
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 389,704,410 . The biggest common factor number is the GCF number.
So the greatest common factor 389,704,410 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 91/389, 417/704, 188/410?
Answer: LCM of Numerators as per given numbers 91/389, 417/704, 188/410 is
LCM of Numerators i.e. for 91,417,188 is 7134036
GCF of denominators i.e. for 389,704,410 is 1.
Thus, LCM of Fractions is 7134036.Finally, LCM of Fractions for 91/389, 417/704, 188/410 is 7134036.