Least Common Multiple of 470/81, 629/81, 346/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/81, 629/81, 346/89 quickly i.e. 51143990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/81, 629/81, 346/89 is 51143990.

LCM(470/81, 629/81, 346/89) = 51143990

LCM of 470/81, 629/81, 346/89

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 470/81,629/81,346/89

Given numbers are 470/81,629/81,346/89

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 470,629,346

Least Common Multiple of Numerators i.e. LCM of 470,629,346 is 51143990.

GCF of Denominators means GCF of 81,81,89 as per the given fractions.

GCF of 81,81,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,629,346

LCM of Fractions 470/81,629/81,346/89 is 51143990

2 470, 629, 346
235, 629, 173

∴ So the LCM of the given numbers is 2 x 235 x 629 x 173 = 51143990

Least Common Multiple of 470,629,346 with GCF Formula

Least Common Multiple of 470,629,346 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 470,629,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,629,346) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(470,629,346) x common factors =1 x 2 = 2

LCM(470,629,346) = ( 470 × 629 × 346 ) / 2

LCM(470,629,346) = 102287980 / 2

LCM(470,629,346) = 51143990


Lets's calculate GCF of 81,81,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51143990/1

Therefore the LCM of Fractions 470/81,629/81,346/89 is 51143990

Greatest Common Factor of 81,81,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,81,89 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 81,81,89 . The biggest common factor number is the GCF number.
So the greatest common factor 81,81,89 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 470/81, 629/81, 346/89

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 470/81, 629/81, 346/89?

Answer: LCM of Numerators as per given numbers 470/81, 629/81, 346/89 is

LCM of Numerators i.e. for 470,629,346 is 51143990

GCF of denominators i.e. for 81,81,89 is 1.

Thus, LCM of Fractions is 51143990.Finally, LCM of Fractions for 470/81, 629/81, 346/89 is 51143990.