Least Common Multiple of 47/549, 6580/3000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/549, 6580/3000 quickly i.e. 6580/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/549, 6580/3000 is 6580/3.

LCM(47/549, 6580/3000) = 6580/3

LCM of 47/549, 6580/3000

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 47/549,6580/3000

Given numbers are 47/549,6580/3000

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 47,6580

Least Common Multiple of Numerators i.e. LCM of 47,6580 is 6580.

GCF of Denominators means GCF of 549,3000 as per the given fractions.

GCF of 549,3000 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,6580

LCM of Fractions 47/549,6580/3000 is 6580/3

47 47, 6580
1, 140

∴ So the LCM of the given numbers is 47 x 1 x 140 = 6580

Least Common Multiple of 47,6580 with GCF Formula

Least Common Multiple of 47,6580 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 47,6580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,6580) = 47

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

GCF(47,6580) x common factors =47 x 1 = 47

LCM(47,6580) = ( 47 × 6580 ) / 47

LCM(47,6580) = 309260 / 47

LCM(47,6580) = 6580


Lets's calculate GCF of 549,3000

3 549, 3000
183, 1000

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6580/3

Therefore the LCM of Fractions 47/549,6580/3000 is 6580/3

Greatest Common Factor of 549,3000 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,3000 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 3000

List of positive integer factors of 3000 that divides 3000 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000

Greatest Common Factor

We found the factors 549,3000 . The biggest common factor number is the GCF number.
So the greatest common factor 549,3000 is 3.


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 47/549, 6580/3000

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 47/549, 6580/3000?

Answer: LCM of Numerators as per given numbers 47/549, 6580/3000 is

LCM of Numerators i.e. for 47,6580 is 6580

GCF of denominators i.e. for 549,3000 is 3.

Thus, LCM of Fractions is 6580/3.Finally, LCM of Fractions for 47/549, 6580/3000 is 6580/3.