Least Common Multiple of 794/460, 7523/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 794/460, 7523/579 quickly i.e. 5973262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/460, 7523/579 is 5973262.

LCM(794/460, 7523/579) = 5973262

LCM of 794/460, 7523/579

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 794/460,7523/579

Given numbers are 794/460,7523/579

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 794,7523

Least Common Multiple of Numerators i.e. LCM of 794,7523 is 5973262.

GCF of Denominators means GCF of 460,579 as per the given fractions.

GCF of 460,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,7523

LCM of Fractions 794/460,7523/579 is 5973262

Given numbers has no common factors except 1. So, there LCM is their product i.e 5973262

Least Common Multiple of 794,7523 with GCF Formula

Least Common Multiple of 794,7523 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 794,7523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,7523) = 1

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

GCF(794,7523) x common factors =1 x 1 = 1

LCM(794,7523) = ( 794 × 7523 ) / 1

LCM(794,7523) = 5973262 / 1

LCM(794,7523) = 5973262


Lets's calculate GCF of 460,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5973262/1

Therefore the LCM of Fractions 794/460,7523/579 is 5973262

Greatest Common Factor of 460,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,579 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 460,579 . The biggest common factor number is the GCF number.
So the greatest common factor 460,579 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 794/460, 7523/579

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 794/460, 7523/579?

Answer: LCM of Numerators as per given numbers 794/460, 7523/579 is

LCM of Numerators i.e. for 794,7523 is 5973262

GCF of denominators i.e. for 460,579 is 1.

Thus, LCM of Fractions is 5973262.Finally, LCM of Fractions for 794/460, 7523/579 is 5973262.