Least Common Multiple of 29/470, 2012/4171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/470, 2012/4171 quickly i.e. 58348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/470, 2012/4171 is 58348.

LCM(29/470, 2012/4171) = 58348

LCM of 29/470, 2012/4171

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 29/470,2012/4171

Given numbers are 29/470,2012/4171

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 29,2012

Least Common Multiple of Numerators i.e. LCM of 29,2012 is 58348.

GCF of Denominators means GCF of 470,4171 as per the given fractions.

GCF of 470,4171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,2012

LCM of Fractions 29/470,2012/4171 is 58348

Given numbers has no common factors except 1. So, there LCM is their product i.e 58348

Least Common Multiple of 29,2012 with GCF Formula

Least Common Multiple of 29,2012 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 29,2012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,2012) = 1

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

GCF(29,2012) x common factors =1 x 1 = 1

LCM(29,2012) = ( 29 × 2012 ) / 1

LCM(29,2012) = 58348 / 1

LCM(29,2012) = 58348


Lets's calculate GCF of 470,4171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58348/1

Therefore the LCM of Fractions 29/470,2012/4171 is 58348

Greatest Common Factor of 470,4171 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,4171 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 4171

List of positive integer factors of 4171 that divides 4171 without a remainder.

1,43,97,4171

Greatest Common Factor

We found the factors 470,4171 . The biggest common factor number is the GCF number.
So the greatest common factor 470,4171 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 29/470, 2012/4171

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 29/470, 2012/4171?

Answer: LCM of Numerators as per given numbers 29/470, 2012/4171 is

LCM of Numerators i.e. for 29,2012 is 58348

GCF of denominators i.e. for 470,4171 is 1.

Thus, LCM of Fractions is 58348.Finally, LCM of Fractions for 29/470, 2012/4171 is 58348.