Least Common Multiple of 2184/54, 1782/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2184/54, 1782/383 quickly i.e. 648648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2184/54, 1782/383 is 648648.

LCM(2184/54, 1782/383) = 648648

LCM of 2184/54, 1782/383

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 2184/54,1782/383

Given numbers are 2184/54,1782/383

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 2184,1782

Least Common Multiple of Numerators i.e. LCM of 2184,1782 is 648648.

GCF of Denominators means GCF of 54,383 as per the given fractions.

GCF of 54,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2184,1782

LCM of Fractions 2184/54,1782/383 is 648648

2 2184, 1782
3 1092, 891
364, 297

∴ So the LCM of the given numbers is 2 x 3 x 364 x 297 = 648648

Least Common Multiple of 2184,1782 with GCF Formula

Least Common Multiple of 2184,1782 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 2184,1782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2184,1782) = 6

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

GCF(2184,1782) x common factors =6 x 1 = 6

LCM(2184,1782) = ( 2184 × 1782 ) / 6

LCM(2184,1782) = 3891888 / 6

LCM(2184,1782) = 648648


Lets's calculate GCF of 54,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 648648/1

Therefore the LCM of Fractions 2184/54,1782/383 is 648648

Greatest Common Factor of 54,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,383 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 54,383 . The biggest common factor number is the GCF number.
So the greatest common factor 54,383 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 2184/54, 1782/383

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 2184/54, 1782/383?

Answer: LCM of Numerators as per given numbers 2184/54, 1782/383 is

LCM of Numerators i.e. for 2184,1782 is 648648

GCF of denominators i.e. for 54,383 is 1.

Thus, LCM of Fractions is 648648.Finally, LCM of Fractions for 2184/54, 1782/383 is 648648.