Least Common Multiple of 713/29, 529/4465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 713/29, 529/4465 quickly i.e. 16399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/29, 529/4465 is 16399.

LCM(713/29, 529/4465) = 16399

LCM of 713/29, 529/4465

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 713/29,529/4465

Given numbers are 713/29,529/4465

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 713,529

Least Common Multiple of Numerators i.e. LCM of 713,529 is 16399.

GCF of Denominators means GCF of 29,4465 as per the given fractions.

GCF of 29,4465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,529

LCM of Fractions 713/29,529/4465 is 16399

23 713, 529
31, 23

∴ So the LCM of the given numbers is 23 x 31 x 23 = 16399

Least Common Multiple of 713,529 with GCF Formula

Least Common Multiple of 713,529 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 713,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,529) = 23

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

GCF(713,529) x common factors =23 x 1 = 23

LCM(713,529) = ( 713 × 529 ) / 23

LCM(713,529) = 377177 / 23

LCM(713,529) = 16399


Lets's calculate GCF of 29,4465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16399/1

Therefore the LCM of Fractions 713/29,529/4465 is 16399

Greatest Common Factor of 29,4465 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,4465 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 4465

List of positive integer factors of 4465 that divides 4465 without a remainder.

1,5,19,47,95,235,893,4465

Greatest Common Factor

We found the factors 29,4465 . The biggest common factor number is the GCF number.
So the greatest common factor 29,4465 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 713/29, 529/4465

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 713/29, 529/4465?

Answer: LCM of Numerators as per given numbers 713/29, 529/4465 is

LCM of Numerators i.e. for 713,529 is 16399

GCF of denominators i.e. for 29,4465 is 1.

Thus, LCM of Fractions is 16399.Finally, LCM of Fractions for 713/29, 529/4465 is 16399.