Least Common Multiple of 367/204, 1824/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/204, 1824/372 quickly i.e. 55784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/204, 1824/372 is 55784.

LCM(367/204, 1824/372) = 55784

LCM of 367/204, 1824/372

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 367/204,1824/372

Given numbers are 367/204,1824/372

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 367,1824

Least Common Multiple of Numerators i.e. LCM of 367,1824 is 669408.

GCF of Denominators means GCF of 204,372 as per the given fractions.

GCF of 204,372 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,1824

LCM of Fractions 367/204,1824/372 is 55784

Given numbers has no common factors except 1. So, there LCM is their product i.e 669408

Least Common Multiple of 367,1824 with GCF Formula

Least Common Multiple of 367,1824 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 367,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,1824) = 1

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

GCF(367,1824) x common factors =1 x 1 = 1

LCM(367,1824) = ( 367 × 1824 ) / 1

LCM(367,1824) = 669408 / 1

LCM(367,1824) = 669408


Lets's calculate GCF of 204,372

2 204, 372
2 102, 186
3 51, 93
17, 31

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 669408/12

Therefore the LCM of Fractions 367/204,1824/372 is 55784

Greatest Common Factor of 204,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,372 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 204,372 . The biggest common factor number is the GCF number.
So the greatest common factor 204,372 is 12.


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 367/204, 1824/372

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 367/204, 1824/372?

Answer: LCM of Numerators as per given numbers 367/204, 1824/372 is

LCM of Numerators i.e. for 367,1824 is 669408

GCF of denominators i.e. for 204,372 is 12.

Thus, LCM of Fractions is 55784.Finally, LCM of Fractions for 367/204, 1824/372 is 55784.