Least Common Multiple of 466/36, 830/9345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/36, 830/9345 quickly i.e. 193390/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/36, 830/9345 is 193390/3.

LCM(466/36, 830/9345) = 193390/3

LCM of 466/36, 830/9345

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 466/36,830/9345

Given numbers are 466/36,830/9345

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 466,830

Least Common Multiple of Numerators i.e. LCM of 466,830 is 193390.

GCF of Denominators means GCF of 36,9345 as per the given fractions.

GCF of 36,9345 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,830

LCM of Fractions 466/36,830/9345 is 193390/3

2 466, 830
233, 415

∴ So the LCM of the given numbers is 2 x 233 x 415 = 193390

Least Common Multiple of 466,830 with GCF Formula

Least Common Multiple of 466,830 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 466,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,830) = 2

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

GCF(466,830) x common factors =2 x 1 = 2

LCM(466,830) = ( 466 × 830 ) / 2

LCM(466,830) = 386780 / 2

LCM(466,830) = 193390


Lets's calculate GCF of 36,9345

3 36, 9345
12, 3115

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193390/3

Therefore the LCM of Fractions 466/36,830/9345 is 193390/3

Greatest Common Factor of 36,9345 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,9345 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345

Greatest Common Factor

We found the factors 36,9345 . The biggest common factor number is the GCF number.
So the greatest common factor 36,9345 is 3.


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 466/36, 830/9345

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 466/36, 830/9345?

Answer: LCM of Numerators as per given numbers 466/36, 830/9345 is

LCM of Numerators i.e. for 466,830 is 193390

GCF of denominators i.e. for 36,9345 is 3.

Thus, LCM of Fractions is 193390/3.Finally, LCM of Fractions for 466/36, 830/9345 is 193390/3.