Least Common Multiple of 93/40, 300/71, 404/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/40, 300/71, 404/588 quickly i.e. 939300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/40, 300/71, 404/588 is 939300.

LCM(93/40, 300/71, 404/588) = 939300

LCM of 93/40, 300/71, 404/588

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 93/40,300/71,404/588

Given numbers are 93/40,300/71,404/588

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 93,300,404

Least Common Multiple of Numerators i.e. LCM of 93,300,404 is 939300.

GCF of Denominators means GCF of 40,71,588 as per the given fractions.

GCF of 40,71,588 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,300,404

LCM of Fractions 93/40,300/71,404/588 is 939300

2 93, 300, 404
2 93, 150, 202
3 93, 75, 101
31, 25, 101

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 25 x 101 = 939300

Least Common Multiple of 93,300,404 with GCF Formula

Least Common Multiple of 93,300,404 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 93,300,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,300,404) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(93,300,404) x common factors =1 x 12 = 12

LCM(93,300,404) = ( 93 × 300 × 404 ) / 12

LCM(93,300,404) = 11271600 / 12

LCM(93,300,404) = 939300


Lets's calculate GCF of 40,71,588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 939300/1

Therefore the LCM of Fractions 93/40,300/71,404/588 is 939300

Greatest Common Factor of 40,71,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,71,588 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 40,71,588 . The biggest common factor number is the GCF number.
So the greatest common factor 40,71,588 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 93/40, 300/71, 404/588

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 93/40, 300/71, 404/588?

Answer: LCM of Numerators as per given numbers 93/40, 300/71, 404/588 is

LCM of Numerators i.e. for 93,300,404 is 939300

GCF of denominators i.e. for 40,71,588 is 1.

Thus, LCM of Fractions is 939300.Finally, LCM of Fractions for 93/40, 300/71, 404/588 is 939300.