Least Common Multiple of 470/16, 464/3362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/16, 464/3362 quickly i.e. 54520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/16, 464/3362 is 54520.

LCM(470/16, 464/3362) = 54520

LCM of 470/16, 464/3362

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 470/16,464/3362

Given numbers are 470/16,464/3362

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 470,464

Least Common Multiple of Numerators i.e. LCM of 470,464 is 109040.

GCF of Denominators means GCF of 16,3362 as per the given fractions.

GCF of 16,3362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,464

LCM of Fractions 470/16,464/3362 is 54520

2 470, 464
235, 232

∴ So the LCM of the given numbers is 2 x 235 x 232 = 109040

Least Common Multiple of 470,464 with GCF Formula

Least Common Multiple of 470,464 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 470,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,464) = 2

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

GCF(470,464) x common factors =2 x 1 = 2

LCM(470,464) = ( 470 × 464 ) / 2

LCM(470,464) = 218080 / 2

LCM(470,464) = 109040


Lets's calculate GCF of 16,3362

2 16, 3362
8, 1681

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109040/2

Therefore the LCM of Fractions 470/16,464/3362 is 54520

Greatest Common Factor of 16,3362 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,3362 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 3362

List of positive integer factors of 3362 that divides 3362 without a remainder.

1,2,41,82,1681,3362

Greatest Common Factor

We found the factors 16,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 16,3362 is 2.


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 470/16, 464/3362

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 470/16, 464/3362?

Answer: LCM of Numerators as per given numbers 470/16, 464/3362 is

LCM of Numerators i.e. for 470,464 is 109040

GCF of denominators i.e. for 16,3362 is 2.

Thus, LCM of Fractions is 54520.Finally, LCM of Fractions for 470/16, 464/3362 is 54520.