Least Common Multiple of 20/480, 99/817, 638/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/480, 99/817, 638/411 quickly i.e. 57420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/480, 99/817, 638/411 is 57420.

LCM(20/480, 99/817, 638/411) = 57420

LCM of 20/480, 99/817, 638/411

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 20/480,99/817,638/411

Given numbers are 20/480,99/817,638/411

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 20,99,638

Least Common Multiple of Numerators i.e. LCM of 20,99,638 is 57420.

GCF of Denominators means GCF of 480,817,411 as per the given fractions.

GCF of 480,817,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,99,638

LCM of Fractions 20/480,99/817,638/411 is 57420

2 20, 99, 638
11 10, 99, 319
10, 9, 29

∴ So the LCM of the given numbers is 2 x 11 x 10 x 9 x 29 = 57420

Least Common Multiple of 20,99,638 with GCF Formula

Least Common Multiple of 20,99,638 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 20,99,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,99,638) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(20,99,638) x common factors =1 x 22 = 22

LCM(20,99,638) = ( 20 × 99 × 638 ) / 22

LCM(20,99,638) = 1263240 / 22

LCM(20,99,638) = 57420


Lets's calculate GCF of 480,817,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57420/1

Therefore the LCM of Fractions 20/480,99/817,638/411 is 57420

Greatest Common Factor of 480,817,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,817,411 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 480,817,411 . The biggest common factor number is the GCF number.
So the greatest common factor 480,817,411 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 20/480, 99/817, 638/411

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 20/480, 99/817, 638/411?

Answer: LCM of Numerators as per given numbers 20/480, 99/817, 638/411 is

LCM of Numerators i.e. for 20,99,638 is 57420

GCF of denominators i.e. for 480,817,411 is 1.

Thus, LCM of Fractions is 57420.Finally, LCM of Fractions for 20/480, 99/817, 638/411 is 57420.