Least Common Multiple of 466/539, 649/312, 818/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/539, 649/312, 818/580 quickly i.e. 123695506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/539, 649/312, 818/580 is 123695506.

LCM(466/539, 649/312, 818/580) = 123695506

LCM of 466/539, 649/312, 818/580

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 466/539,649/312,818/580

Given numbers are 466/539,649/312,818/580

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 466,649,818

Least Common Multiple of Numerators i.e. LCM of 466,649,818 is 123695506.

GCF of Denominators means GCF of 539,312,580 as per the given fractions.

GCF of 539,312,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,649,818

LCM of Fractions 466/539,649/312,818/580 is 123695506

2 466, 649, 818
233, 649, 409

∴ So the LCM of the given numbers is 2 x 233 x 649 x 409 = 123695506

Least Common Multiple of 466,649,818 with GCF Formula

Least Common Multiple of 466,649,818 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 466,649,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,649,818) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(466,649,818) x common factors =1 x 2 = 2

LCM(466,649,818) = ( 466 × 649 × 818 ) / 2

LCM(466,649,818) = 247391012 / 2

LCM(466,649,818) = 123695506


Lets's calculate GCF of 539,312,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123695506/1

Therefore the LCM of Fractions 466/539,649/312,818/580 is 123695506

Greatest Common Factor of 539,312,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,312,580 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

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

Greatest Common Factor

We found the factors 539,312,580 . The biggest common factor number is the GCF number.
So the greatest common factor 539,312,580 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 466/539, 649/312, 818/580

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 466/539, 649/312, 818/580?

Answer: LCM of Numerators as per given numbers 466/539, 649/312, 818/580 is

LCM of Numerators i.e. for 466,649,818 is 123695506

GCF of denominators i.e. for 539,312,580 is 1.

Thus, LCM of Fractions is 123695506.Finally, LCM of Fractions for 466/539, 649/312, 818/580 is 123695506.