Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/271, 31/614, 405/339 quickly i.e. 803520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/271, 31/614, 405/339 is 803520.
LCM(64/271, 31/614, 405/339) = 803520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/271,31/614,405/339
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 64,31,405
Least Common Multiple of Numerators i.e. LCM of 64,31,405 is 803520.
GCF of Denominators means GCF of 271,614,339 as per the given fractions.
GCF of 271,614,339 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,31,405
Given numbers has no common factors except 1. So, there LCM is their product i.e 803520
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 64,31,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,31,405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,31,405) x common factors =1 x 1 = 1
LCM(64,31,405) = ( 64 × 31 × 405 ) / 1
LCM(64,31,405) = 803520 / 1
LCM(64,31,405) = 803520
Lets's calculate GCF of 271,614,339
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 803520/1
Therefore the LCM of Fractions 64/271,31/614,405/339 is 803520
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 271,614,339 . The biggest common factor number is the GCF number.
So the greatest common factor 271,614,339 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 64/271, 31/614, 405/339?
Answer: LCM of Numerators as per given numbers 64/271, 31/614, 405/339 is
LCM of Numerators i.e. for 64,31,405 is 803520
GCF of denominators i.e. for 271,614,339 is 1.
Thus, LCM of Fractions is 803520.Finally, LCM of Fractions for 64/271, 31/614, 405/339 is 803520.