Least Common Multiple of 523/30, 448/82, 349/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/30, 448/82, 349/628 quickly i.e. 40886048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/30, 448/82, 349/628 is 40886048.

LCM(523/30, 448/82, 349/628) = 40886048

LCM of 523/30, 448/82, 349/628

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 523/30,448/82,349/628

Given numbers are 523/30,448/82,349/628

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 523,448,349

Least Common Multiple of Numerators i.e. LCM of 523,448,349 is 81772096.

GCF of Denominators means GCF of 30,82,628 as per the given fractions.

GCF of 30,82,628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,448,349

LCM of Fractions 523/30,448/82,349/628 is 40886048

Given numbers has no common factors except 1. So, there LCM is their product i.e 81772096

Least Common Multiple of 523,448,349 with GCF Formula

Least Common Multiple of 523,448,349 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 523,448,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,448,349) = 1

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

GCF(523,448,349) x common factors =1 x 1 = 1

LCM(523,448,349) = ( 523 × 448 × 349 ) / 1

LCM(523,448,349) = 81772096 / 1

LCM(523,448,349) = 81772096


Lets's calculate GCF of 30,82,628

2 30, 82, 628
15, 41, 314

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81772096/2

Therefore the LCM of Fractions 523/30,448/82,349/628 is 40886048

Greatest Common Factor of 30,82,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,82,628 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 30,82,628 . The biggest common factor number is the GCF number.
So the greatest common factor 30,82,628 is 2.


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 523/30, 448/82, 349/628

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 523/30, 448/82, 349/628?

Answer: LCM of Numerators as per given numbers 523/30, 448/82, 349/628 is

LCM of Numerators i.e. for 523,448,349 is 81772096

GCF of denominators i.e. for 30,82,628 is 2.

Thus, LCM of Fractions is 40886048.Finally, LCM of Fractions for 523/30, 448/82, 349/628 is 40886048.