Least Common Multiple of 79/494, 45/387, 523/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/494, 45/387, 523/578 quickly i.e. 1859265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/494, 45/387, 523/578 is 1859265.

LCM(79/494, 45/387, 523/578) = 1859265

LCM of 79/494, 45/387, 523/578

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 79/494,45/387,523/578

Given numbers are 79/494,45/387,523/578

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 79,45,523

Least Common Multiple of Numerators i.e. LCM of 79,45,523 is 1859265.

GCF of Denominators means GCF of 494,387,578 as per the given fractions.

GCF of 494,387,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,45,523

LCM of Fractions 79/494,45/387,523/578 is 1859265

Given numbers has no common factors except 1. So, there LCM is their product i.e 1859265

Least Common Multiple of 79,45,523 with GCF Formula

Least Common Multiple of 79,45,523 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 79,45,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,45,523) = 1

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

GCF(79,45,523) x common factors =1 x 1 = 1

LCM(79,45,523) = ( 79 × 45 × 523 ) / 1

LCM(79,45,523) = 1859265 / 1

LCM(79,45,523) = 1859265


Lets's calculate GCF of 494,387,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1859265/1

Therefore the LCM of Fractions 79/494,45/387,523/578 is 1859265

Greatest Common Factor of 494,387,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,387,578 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 494,387,578 . The biggest common factor number is the GCF number.
So the greatest common factor 494,387,578 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 79/494, 45/387, 523/578

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 79/494, 45/387, 523/578?

Answer: LCM of Numerators as per given numbers 79/494, 45/387, 523/578 is

LCM of Numerators i.e. for 79,45,523 is 1859265

GCF of denominators i.e. for 494,387,578 is 1.

Thus, LCM of Fractions is 1859265.Finally, LCM of Fractions for 79/494, 45/387, 523/578 is 1859265.