Least Common Multiple of 5000/440, 1710/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5000/440, 1710/500 quickly i.e. 42750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5000/440, 1710/500 is 42750.

LCM(5000/440, 1710/500) = 42750

LCM of 5000/440, 1710/500

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 5000/440,1710/500

Given numbers are 5000/440,1710/500

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 5000,1710

Least Common Multiple of Numerators i.e. LCM of 5000,1710 is 855000.

GCF of Denominators means GCF of 440,500 as per the given fractions.

GCF of 440,500 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5000,1710

LCM of Fractions 5000/440,1710/500 is 42750

2 5000, 1710
5 2500, 855
500, 171

∴ So the LCM of the given numbers is 2 x 5 x 500 x 171 = 855000

Least Common Multiple of 5000,1710 with GCF Formula

Least Common Multiple of 5000,1710 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 5000,1710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5000,1710) = 10

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

GCF(5000,1710) x common factors =10 x 1 = 10

LCM(5000,1710) = ( 5000 × 1710 ) / 10

LCM(5000,1710) = 8550000 / 10

LCM(5000,1710) = 855000


Lets's calculate GCF of 440,500

2 440, 500
2 220, 250
5 110, 125
22, 25

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 855000/20

Therefore the LCM of Fractions 5000/440,1710/500 is 42750

Greatest Common Factor of 440,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,500 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 440,500 . The biggest common factor number is the GCF number.
So the greatest common factor 440,500 is 20.


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 5000/440, 1710/500

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 5000/440, 1710/500?

Answer: LCM of Numerators as per given numbers 5000/440, 1710/500 is

LCM of Numerators i.e. for 5000,1710 is 855000

GCF of denominators i.e. for 440,500 is 20.

Thus, LCM of Fractions is 42750.Finally, LCM of Fractions for 5000/440, 1710/500 is 42750.