Least Common Multiple of 64/271, 31/614, 405/339

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

LCM of 64/271, 31/614, 405/339

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 64/271,31/614,405/339

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

LCM of Fractions 64/271,31/614,405/339 is 803520

Given numbers has no common factors except 1. So, there LCM is their product i.e 803520

Least Common Multiple of 64,31,405 with GCF Formula

Least Common Multiple of 64,31,405 with GCF Formula

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

Greatest Common Factor of 271,614,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,614,339 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/271, 31/614, 405/339

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.