Least Common Multiple of 204/27, 907/2398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 204/27, 907/2398 quickly i.e. 185028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/27, 907/2398 is 185028.

LCM(204/27, 907/2398) = 185028

LCM of 204/27, 907/2398

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 204/27,907/2398

Given numbers are 204/27,907/2398

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 204,907

Least Common Multiple of Numerators i.e. LCM of 204,907 is 185028.

GCF of Denominators means GCF of 27,2398 as per the given fractions.

GCF of 27,2398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,907

LCM of Fractions 204/27,907/2398 is 185028

Given numbers has no common factors except 1. So, there LCM is their product i.e 185028

Least Common Multiple of 204,907 with GCF Formula

Least Common Multiple of 204,907 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 204,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,907) = 1

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

GCF(204,907) x common factors =1 x 1 = 1

LCM(204,907) = ( 204 × 907 ) / 1

LCM(204,907) = 185028 / 1

LCM(204,907) = 185028


Lets's calculate GCF of 27,2398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185028/1

Therefore the LCM of Fractions 204/27,907/2398 is 185028

Greatest Common Factor of 27,2398 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,2398 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 2398

List of positive integer factors of 2398 that divides 2398 without a remainder.

1,2,11,22,109,218,1199,2398

Greatest Common Factor

We found the factors 27,2398 . The biggest common factor number is the GCF number.
So the greatest common factor 27,2398 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 204/27, 907/2398

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 204/27, 907/2398?

Answer: LCM of Numerators as per given numbers 204/27, 907/2398 is

LCM of Numerators i.e. for 204,907 is 185028

GCF of denominators i.e. for 27,2398 is 1.

Thus, LCM of Fractions is 185028.Finally, LCM of Fractions for 204/27, 907/2398 is 185028.