Least Common Multiple of 65/29, 575/45, 713/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/29, 575/45, 713/723 quickly i.e. 231725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/29, 575/45, 713/723 is 231725.

LCM(65/29, 575/45, 713/723) = 231725

LCM of 65/29, 575/45, 713/723

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 65/29,575/45,713/723

Given numbers are 65/29,575/45,713/723

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 65,575,713

Least Common Multiple of Numerators i.e. LCM of 65,575,713 is 231725.

GCF of Denominators means GCF of 29,45,723 as per the given fractions.

GCF of 29,45,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,575,713

LCM of Fractions 65/29,575/45,713/723 is 231725

5 65, 575, 713
23 13, 115, 713
13, 5, 31

∴ So the LCM of the given numbers is 5 x 23 x 13 x 5 x 31 = 231725

Least Common Multiple of 65,575,713 with GCF Formula

Least Common Multiple of 65,575,713 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 65,575,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,575,713) = 1

common factors(in case of two or more numbers have common factors) = 115

GCF(65,575,713) x common factors =1 x 115 = 115

LCM(65,575,713) = ( 65 × 575 × 713 ) / 115

LCM(65,575,713) = 26648375 / 115

LCM(65,575,713) = 231725


Lets's calculate GCF of 29,45,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231725/1

Therefore the LCM of Fractions 65/29,575/45,713/723 is 231725

Greatest Common Factor of 29,45,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,45,723 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 29,45,723 . The biggest common factor number is the GCF number.
So the greatest common factor 29,45,723 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 65/29, 575/45, 713/723

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 65/29, 575/45, 713/723?

Answer: LCM of Numerators as per given numbers 65/29, 575/45, 713/723 is

LCM of Numerators i.e. for 65,575,713 is 231725

GCF of denominators i.e. for 29,45,723 is 1.

Thus, LCM of Fractions is 231725.Finally, LCM of Fractions for 65/29, 575/45, 713/723 is 231725.