Least Common Multiple of 46/900, 6706/2309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/900, 6706/2309 quickly i.e. 154238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/900, 6706/2309 is 154238.

LCM(46/900, 6706/2309) = 154238

LCM of 46/900, 6706/2309

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 46/900,6706/2309

Given numbers are 46/900,6706/2309

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 46,6706

Least Common Multiple of Numerators i.e. LCM of 46,6706 is 154238.

GCF of Denominators means GCF of 900,2309 as per the given fractions.

GCF of 900,2309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,6706

LCM of Fractions 46/900,6706/2309 is 154238

2 46, 6706
23, 3353

∴ So the LCM of the given numbers is 2 x 23 x 3353 = 154238

Least Common Multiple of 46,6706 with GCF Formula

Least Common Multiple of 46,6706 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 46,6706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,6706) = 2

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

GCF(46,6706) x common factors =2 x 1 = 2

LCM(46,6706) = ( 46 × 6706 ) / 2

LCM(46,6706) = 308476 / 2

LCM(46,6706) = 154238


Lets's calculate GCF of 900,2309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154238/1

Therefore the LCM of Fractions 46/900,6706/2309 is 154238

Greatest Common Factor of 900,2309 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,2309 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 2309

List of positive integer factors of 2309 that divides 2309 without a remainder.

1,2309

Greatest Common Factor

We found the factors 900,2309 . The biggest common factor number is the GCF number.
So the greatest common factor 900,2309 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 46/900, 6706/2309

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 46/900, 6706/2309?

Answer: LCM of Numerators as per given numbers 46/900, 6706/2309 is

LCM of Numerators i.e. for 46,6706 is 154238

GCF of denominators i.e. for 900,2309 is 1.

Thus, LCM of Fractions is 154238.Finally, LCM of Fractions for 46/900, 6706/2309 is 154238.