Least Common Multiple of 2409/333, 4136/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2409/333, 4136/182 quickly i.e. 905784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2409/333, 4136/182 is 905784.

LCM(2409/333, 4136/182) = 905784

LCM of 2409/333, 4136/182

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 2409/333,4136/182

Given numbers are 2409/333,4136/182

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 2409,4136

Least Common Multiple of Numerators i.e. LCM of 2409,4136 is 905784.

GCF of Denominators means GCF of 333,182 as per the given fractions.

GCF of 333,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2409,4136

LCM of Fractions 2409/333,4136/182 is 905784

11 2409, 4136
219, 376

∴ So the LCM of the given numbers is 11 x 219 x 376 = 905784

Least Common Multiple of 2409,4136 with GCF Formula

Least Common Multiple of 2409,4136 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 2409,4136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2409,4136) = 11

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

GCF(2409,4136) x common factors =11 x 1 = 11

LCM(2409,4136) = ( 2409 × 4136 ) / 11

LCM(2409,4136) = 9963624 / 11

LCM(2409,4136) = 905784


Lets's calculate GCF of 333,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 905784/1

Therefore the LCM of Fractions 2409/333,4136/182 is 905784

Greatest Common Factor of 333,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,182 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 333,182 . The biggest common factor number is the GCF number.
So the greatest common factor 333,182 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2409/333, 4136/182

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 2409/333, 4136/182?

Answer: LCM of Numerators as per given numbers 2409/333, 4136/182 is

LCM of Numerators i.e. for 2409,4136 is 905784

GCF of denominators i.e. for 333,182 is 1.

Thus, LCM of Fractions is 905784.Finally, LCM of Fractions for 2409/333, 4136/182 is 905784.