Least Common Multiple of 470/66, 583/6400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/66, 583/6400 quickly i.e. 137005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/66, 583/6400 is 137005.

LCM(470/66, 583/6400) = 137005

LCM of 470/66, 583/6400

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 470/66,583/6400

Given numbers are 470/66,583/6400

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 470,583

Least Common Multiple of Numerators i.e. LCM of 470,583 is 274010.

GCF of Denominators means GCF of 66,6400 as per the given fractions.

GCF of 66,6400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,583

LCM of Fractions 470/66,583/6400 is 137005

Given numbers has no common factors except 1. So, there LCM is their product i.e 274010

Least Common Multiple of 470,583 with GCF Formula

Least Common Multiple of 470,583 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 470,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,583) = 1

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

GCF(470,583) x common factors =1 x 1 = 1

LCM(470,583) = ( 470 × 583 ) / 1

LCM(470,583) = 274010 / 1

LCM(470,583) = 274010


Lets's calculate GCF of 66,6400

2 66, 6400
33, 3200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274010/2

Therefore the LCM of Fractions 470/66,583/6400 is 137005

Greatest Common Factor of 66,6400 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,6400 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 6400

List of positive integer factors of 6400 that divides 6400 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,256,320,400,640,800,1280,1600,3200,6400

Greatest Common Factor

We found the factors 66,6400 . The biggest common factor number is the GCF number.
So the greatest common factor 66,6400 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 470/66, 583/6400

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 470/66, 583/6400?

Answer: LCM of Numerators as per given numbers 470/66, 583/6400 is

LCM of Numerators i.e. for 470,583 is 274010

GCF of denominators i.e. for 66,6400 is 2.

Thus, LCM of Fractions is 137005.Finally, LCM of Fractions for 470/66, 583/6400 is 137005.