Least Common Multiple of 38/609, 20/207, 400/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/609, 20/207, 400/500 quickly i.e. 7600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/609, 20/207, 400/500 is 7600.

LCM(38/609, 20/207, 400/500) = 7600

LCM of 38/609, 20/207, 400/500

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 38/609,20/207,400/500

Given numbers are 38/609,20/207,400/500

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 38,20,400

Least Common Multiple of Numerators i.e. LCM of 38,20,400 is 7600.

GCF of Denominators means GCF of 609,207,500 as per the given fractions.

GCF of 609,207,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,20,400

LCM of Fractions 38/609,20/207,400/500 is 7600

2 38, 20, 400
2 19, 10, 200
5 19, 5, 100
19, 1, 20

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 1 x 20 = 7600

Least Common Multiple of 38,20,400 with GCF Formula

Least Common Multiple of 38,20,400 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 38,20,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,20,400) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(38,20,400) x common factors =2 x 20 = 40

LCM(38,20,400) = ( 38 × 20 × 400 ) / 40

LCM(38,20,400) = 304000 / 40

LCM(38,20,400) = 7600


Lets's calculate GCF of 609,207,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7600/1

Therefore the LCM of Fractions 38/609,20/207,400/500 is 7600

Greatest Common Factor of 609,207,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,207,500 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

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 609,207,500 . The biggest common factor number is the GCF number.
So the greatest common factor 609,207,500 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 38/609, 20/207, 400/500

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 38/609, 20/207, 400/500?

Answer: LCM of Numerators as per given numbers 38/609, 20/207, 400/500 is

LCM of Numerators i.e. for 38,20,400 is 7600

GCF of denominators i.e. for 609,207,500 is 1.

Thus, LCM of Fractions is 7600.Finally, LCM of Fractions for 38/609, 20/207, 400/500 is 7600.