Least Common Multiple of 38/489, 93/820, 601/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/489, 93/820, 601/735 quickly i.e. 2123934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/489, 93/820, 601/735 is 2123934.

LCM(38/489, 93/820, 601/735) = 2123934

LCM of 38/489, 93/820, 601/735

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 38/489,93/820,601/735

Given numbers are 38/489,93/820,601/735

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 38,93,601

Least Common Multiple of Numerators i.e. LCM of 38,93,601 is 2123934.

GCF of Denominators means GCF of 489,820,735 as per the given fractions.

GCF of 489,820,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,93,601

LCM of Fractions 38/489,93/820,601/735 is 2123934

Given numbers has no common factors except 1. So, there LCM is their product i.e 2123934

Least Common Multiple of 38,93,601 with GCF Formula

Least Common Multiple of 38,93,601 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 38,93,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,93,601) = 1

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

GCF(38,93,601) x common factors =1 x 1 = 1

LCM(38,93,601) = ( 38 × 93 × 601 ) / 1

LCM(38,93,601) = 2123934 / 1

LCM(38,93,601) = 2123934


Lets's calculate GCF of 489,820,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2123934/1

Therefore the LCM of Fractions 38/489,93/820,601/735 is 2123934

Greatest Common Factor of 489,820,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,820,735 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 489,820,735 . The biggest common factor number is the GCF number.
So the greatest common factor 489,820,735 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 38/489, 93/820, 601/735

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 38/489, 93/820, 601/735?

Answer: LCM of Numerators as per given numbers 38/489, 93/820, 601/735 is

LCM of Numerators i.e. for 38,93,601 is 2123934

GCF of denominators i.e. for 489,820,735 is 1.

Thus, LCM of Fractions is 2123934.Finally, LCM of Fractions for 38/489, 93/820, 601/735 is 2123934.