Least Common Multiple of 29/570, 13/171, 472/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/570, 13/171, 472/743 quickly i.e. 177944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/570, 13/171, 472/743 is 177944.

LCM(29/570, 13/171, 472/743) = 177944

LCM of 29/570, 13/171, 472/743

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 29/570,13/171,472/743

Given numbers are 29/570,13/171,472/743

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 29,13,472

Least Common Multiple of Numerators i.e. LCM of 29,13,472 is 177944.

GCF of Denominators means GCF of 570,171,743 as per the given fractions.

GCF of 570,171,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,13,472

LCM of Fractions 29/570,13/171,472/743 is 177944

Given numbers has no common factors except 1. So, there LCM is their product i.e 177944

Least Common Multiple of 29,13,472 with GCF Formula

Least Common Multiple of 29,13,472 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 29,13,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,13,472) = 1

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

GCF(29,13,472) x common factors =1 x 1 = 1

LCM(29,13,472) = ( 29 × 13 × 472 ) / 1

LCM(29,13,472) = 177944 / 1

LCM(29,13,472) = 177944


Lets's calculate GCF of 570,171,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177944/1

Therefore the LCM of Fractions 29/570,13/171,472/743 is 177944

Greatest Common Factor of 570,171,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,171,743 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 570,171,743 . The biggest common factor number is the GCF number.
So the greatest common factor 570,171,743 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 29/570, 13/171, 472/743

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 29/570, 13/171, 472/743?

Answer: LCM of Numerators as per given numbers 29/570, 13/171, 472/743 is

LCM of Numerators i.e. for 29,13,472 is 177944

GCF of denominators i.e. for 570,171,743 is 1.

Thus, LCM of Fractions is 177944.Finally, LCM of Fractions for 29/570, 13/171, 472/743 is 177944.