Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/664, 34/258, 191/810 quickly i.e. 126633 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/664, 34/258, 191/810 is 126633.
LCM(39/664, 34/258, 191/810) = 126633
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/664,34/258,191/810
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 39,34,191
Least Common Multiple of Numerators i.e. LCM of 39,34,191 is 253266.
GCF of Denominators means GCF of 664,258,810 as per the given fractions.
GCF of 664,258,810 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,34,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 253266
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 39,34,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,34,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,34,191) x common factors =1 x 1 = 1
LCM(39,34,191) = ( 39 × 34 × 191 ) / 1
LCM(39,34,191) = 253266 / 1
LCM(39,34,191) = 253266
Lets's calculate GCF of 664,258,810
2 | 664, 258, 810 |
332, 129, 405 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253266/2
Therefore the LCM of Fractions 39/664,34/258,191/810 is 126633
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 664,258,810 . The biggest common factor number is the GCF number.
So the greatest common factor 664,258,810 is 2.
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 39/664, 34/258, 191/810?
Answer: LCM of Numerators as per given numbers 39/664, 34/258, 191/810 is
LCM of Numerators i.e. for 39,34,191 is 253266
GCF of denominators i.e. for 664,258,810 is 2.
Thus, LCM of Fractions is 126633.Finally, LCM of Fractions for 39/664, 34/258, 191/810 is 126633.