Least Common Multiple of 71/640, 16/580, 115/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/640, 16/580, 115/582 quickly i.e. 65320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/640, 16/580, 115/582 is 65320.

LCM(71/640, 16/580, 115/582) = 65320

LCM of 71/640, 16/580, 115/582

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 71/640,16/580,115/582

Given numbers are 71/640,16/580,115/582

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 71,16,115

Least Common Multiple of Numerators i.e. LCM of 71,16,115 is 130640.

GCF of Denominators means GCF of 640,580,582 as per the given fractions.

GCF of 640,580,582 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,16,115

LCM of Fractions 71/640,16/580,115/582 is 65320

Given numbers has no common factors except 1. So, there LCM is their product i.e 130640

Least Common Multiple of 71,16,115 with GCF Formula

Least Common Multiple of 71,16,115 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 71,16,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,16,115) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,16,115) x common factors =1 x 1 = 1

LCM(71,16,115) = ( 71 × 16 × 115 ) / 1

LCM(71,16,115) = 130640 / 1

LCM(71,16,115) = 130640


Lets's calculate GCF of 640,580,582

2 640, 580, 582
320, 290, 291

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130640/2

Therefore the LCM of Fractions 71/640,16/580,115/582 is 65320

Greatest Common Factor of 640,580,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,580,582 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 640,580,582 . The biggest common factor number is the GCF number.
So the greatest common factor 640,580,582 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 71/640, 16/580, 115/582

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 71/640, 16/580, 115/582?

Answer: LCM of Numerators as per given numbers 71/640, 16/580, 115/582 is

LCM of Numerators i.e. for 71,16,115 is 130640

GCF of denominators i.e. for 640,580,582 is 2.

Thus, LCM of Fractions is 65320.Finally, LCM of Fractions for 71/640, 16/580, 115/582 is 65320.