Least Common Multiple of 46/316, 2064/2289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/316, 2064/2289 quickly i.e. 47472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/316, 2064/2289 is 47472.

LCM(46/316, 2064/2289) = 47472

LCM of 46/316, 2064/2289

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 46/316,2064/2289

Given numbers are 46/316,2064/2289

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 46,2064

Least Common Multiple of Numerators i.e. LCM of 46,2064 is 47472.

GCF of Denominators means GCF of 316,2289 as per the given fractions.

GCF of 316,2289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,2064

LCM of Fractions 46/316,2064/2289 is 47472

2 46, 2064
23, 1032

∴ So the LCM of the given numbers is 2 x 23 x 1032 = 47472

Least Common Multiple of 46,2064 with GCF Formula

Least Common Multiple of 46,2064 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 46,2064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,2064) = 2

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

GCF(46,2064) x common factors =2 x 1 = 2

LCM(46,2064) = ( 46 × 2064 ) / 2

LCM(46,2064) = 94944 / 2

LCM(46,2064) = 47472


Lets's calculate GCF of 316,2289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47472/1

Therefore the LCM of Fractions 46/316,2064/2289 is 47472

Greatest Common Factor of 316,2289 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,2289 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 2289

List of positive integer factors of 2289 that divides 2289 without a remainder.

1,3,7,21,109,327,763,2289

Greatest Common Factor

We found the factors 316,2289 . The biggest common factor number is the GCF number.
So the greatest common factor 316,2289 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 46/316, 2064/2289

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 46/316, 2064/2289?

Answer: LCM of Numerators as per given numbers 46/316, 2064/2289 is

LCM of Numerators i.e. for 46,2064 is 47472

GCF of denominators i.e. for 316,2289 is 1.

Thus, LCM of Fractions is 47472.Finally, LCM of Fractions for 46/316, 2064/2289 is 47472.