Least Common Multiple of 580/49, 464/64, 466/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/49, 464/64, 466/260 quickly i.e. 540560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/49, 464/64, 466/260 is 540560.

LCM(580/49, 464/64, 466/260) = 540560

LCM of 580/49, 464/64, 466/260

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 580/49,464/64,466/260

Given numbers are 580/49,464/64,466/260

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 580,464,466

Least Common Multiple of Numerators i.e. LCM of 580,464,466 is 540560.

GCF of Denominators means GCF of 49,64,260 as per the given fractions.

GCF of 49,64,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,464,466

LCM of Fractions 580/49,464/64,466/260 is 540560

2 580, 464, 466
2 290, 232, 233
29 145, 116, 233
5, 4, 233

∴ So the LCM of the given numbers is 2 x 2 x 29 x 5 x 4 x 233 = 540560

Least Common Multiple of 580,464,466 with GCF Formula

Least Common Multiple of 580,464,466 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 580,464,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,464,466) = 2

common factors(in case of two or more numbers have common factors) = 116

GCF(580,464,466) x common factors =2 x 116 = 232

LCM(580,464,466) = ( 580 × 464 × 466 ) / 232

LCM(580,464,466) = 125409920 / 232

LCM(580,464,466) = 540560


Lets's calculate GCF of 49,64,260

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540560/1

Therefore the LCM of Fractions 580/49,464/64,466/260 is 540560

Greatest Common Factor of 49,64,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,64,260 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 49,64,260 . The biggest common factor number is the GCF number.
So the greatest common factor 49,64,260 is 1.


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 580/49, 464/64, 466/260

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 580/49, 464/64, 466/260?

Answer: LCM of Numerators as per given numbers 580/49, 464/64, 466/260 is

LCM of Numerators i.e. for 580,464,466 is 540560

GCF of denominators i.e. for 49,64,260 is 1.

Thus, LCM of Fractions is 540560.Finally, LCM of Fractions for 580/49, 464/64, 466/260 is 540560.