Least Common Multiple of 493/30, 132/50, 389/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/30, 132/50, 389/477 quickly i.e. 25314564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/30, 132/50, 389/477 is 25314564.

LCM(493/30, 132/50, 389/477) = 25314564

LCM of 493/30, 132/50, 389/477

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 493/30,132/50,389/477

Given numbers are 493/30,132/50,389/477

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 493,132,389

Least Common Multiple of Numerators i.e. LCM of 493,132,389 is 25314564.

GCF of Denominators means GCF of 30,50,477 as per the given fractions.

GCF of 30,50,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,132,389

LCM of Fractions 493/30,132/50,389/477 is 25314564

Given numbers has no common factors except 1. So, there LCM is their product i.e 25314564

Least Common Multiple of 493,132,389 with GCF Formula

Least Common Multiple of 493,132,389 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 493,132,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,132,389) = 1

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

GCF(493,132,389) x common factors =1 x 1 = 1

LCM(493,132,389) = ( 493 × 132 × 389 ) / 1

LCM(493,132,389) = 25314564 / 1

LCM(493,132,389) = 25314564


Lets's calculate GCF of 30,50,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25314564/1

Therefore the LCM of Fractions 493/30,132/50,389/477 is 25314564

Greatest Common Factor of 30,50,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,50,477 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 30,50,477 . The biggest common factor number is the GCF number.
So the greatest common factor 30,50,477 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 493/30, 132/50, 389/477

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 493/30, 132/50, 389/477?

Answer: LCM of Numerators as per given numbers 493/30, 132/50, 389/477 is

LCM of Numerators i.e. for 493,132,389 is 25314564

GCF of denominators i.e. for 30,50,477 is 1.

Thus, LCM of Fractions is 25314564.Finally, LCM of Fractions for 493/30, 132/50, 389/477 is 25314564.