Least Common Multiple of 493/29, 211/83, 302/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/29, 211/83, 302/600 quickly i.e. 31414946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/29, 211/83, 302/600 is 31414946.

LCM(493/29, 211/83, 302/600) = 31414946

LCM of 493/29, 211/83, 302/600

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 493/29,211/83,302/600

Given numbers are 493/29,211/83,302/600

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 493,211,302

Least Common Multiple of Numerators i.e. LCM of 493,211,302 is 31414946.

GCF of Denominators means GCF of 29,83,600 as per the given fractions.

GCF of 29,83,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,211,302

LCM of Fractions 493/29,211/83,302/600 is 31414946

Given numbers has no common factors except 1. So, there LCM is their product i.e 31414946

Least Common Multiple of 493,211,302 with GCF Formula

Least Common Multiple of 493,211,302 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 493,211,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,211,302) = 1

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

GCF(493,211,302) x common factors =1 x 1 = 1

LCM(493,211,302) = ( 493 × 211 × 302 ) / 1

LCM(493,211,302) = 31414946 / 1

LCM(493,211,302) = 31414946


Lets's calculate GCF of 29,83,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31414946/1

Therefore the LCM of Fractions 493/29,211/83,302/600 is 31414946

Greatest Common Factor of 29,83,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,83,600 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 29,83,600 . The biggest common factor number is the GCF number.
So the greatest common factor 29,83,600 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 493/29, 211/83, 302/600

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 493/29, 211/83, 302/600?

Answer: LCM of Numerators as per given numbers 493/29, 211/83, 302/600 is

LCM of Numerators i.e. for 493,211,302 is 31414946

GCF of denominators i.e. for 29,83,600 is 1.

Thus, LCM of Fractions is 31414946.Finally, LCM of Fractions for 493/29, 211/83, 302/600 is 31414946.