Least Common Multiple of 54/819, 428/219, 389/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/819, 428/219, 389/121 quickly i.e. 4495284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/819, 428/219, 389/121 is 4495284.

LCM(54/819, 428/219, 389/121) = 4495284

LCM of 54/819, 428/219, 389/121

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 54/819,428/219,389/121

Given numbers are 54/819,428/219,389/121

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 54,428,389

Least Common Multiple of Numerators i.e. LCM of 54,428,389 is 4495284.

GCF of Denominators means GCF of 819,219,121 as per the given fractions.

GCF of 819,219,121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,428,389

LCM of Fractions 54/819,428/219,389/121 is 4495284

2 54, 428, 389
27, 214, 389

∴ So the LCM of the given numbers is 2 x 27 x 214 x 389 = 4495284

Least Common Multiple of 54,428,389 with GCF Formula

Least Common Multiple of 54,428,389 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 54,428,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,428,389) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,428,389) x common factors =1 x 2 = 2

LCM(54,428,389) = ( 54 × 428 × 389 ) / 2

LCM(54,428,389) = 8990568 / 2

LCM(54,428,389) = 4495284


Lets's calculate GCF of 819,219,121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4495284/1

Therefore the LCM of Fractions 54/819,428/219,389/121 is 4495284

Greatest Common Factor of 819,219,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,219,121 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 819,219,121 . The biggest common factor number is the GCF number.
So the greatest common factor 819,219,121 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 54/819, 428/219, 389/121

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 54/819, 428/219, 389/121?

Answer: LCM of Numerators as per given numbers 54/819, 428/219, 389/121 is

LCM of Numerators i.e. for 54,428,389 is 4495284

GCF of denominators i.e. for 819,219,121 is 1.

Thus, LCM of Fractions is 4495284.Finally, LCM of Fractions for 54/819, 428/219, 389/121 is 4495284.