Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/31, 991/58, 581/204 quickly i.e. 36849344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/31, 991/58, 581/204 is 36849344.
LCM(64/31, 991/58, 581/204) = 36849344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/31,991/58,581/204
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 64,991,581
Least Common Multiple of Numerators i.e. LCM of 64,991,581 is 36849344.
GCF of Denominators means GCF of 31,58,204 as per the given fractions.
GCF of 31,58,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,991,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 36849344
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 64,991,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,991,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,991,581) x common factors =1 x 1 = 1
LCM(64,991,581) = ( 64 × 991 × 581 ) / 1
LCM(64,991,581) = 36849344 / 1
LCM(64,991,581) = 36849344
Lets's calculate GCF of 31,58,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36849344/1
Therefore the LCM of Fractions 64/31,991/58,581/204 is 36849344
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 31,58,204 . The biggest common factor number is the GCF number.
So the greatest common factor 31,58,204 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 64/31, 991/58, 581/204?
Answer: LCM of Numerators as per given numbers 64/31, 991/58, 581/204 is
LCM of Numerators i.e. for 64,991,581 is 36849344
GCF of denominators i.e. for 31,58,204 is 1.
Thus, LCM of Fractions is 36849344.Finally, LCM of Fractions for 64/31, 991/58, 581/204 is 36849344.