Least Common Multiple of 28/546, 539/694, 212/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/546, 539/694, 212/230 quickly i.e. 57134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/546, 539/694, 212/230 is 57134.

LCM(28/546, 539/694, 212/230) = 57134

LCM of 28/546, 539/694, 212/230

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 28/546,539/694,212/230

Given numbers are 28/546,539/694,212/230

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 28,539,212

Least Common Multiple of Numerators i.e. LCM of 28,539,212 is 114268.

GCF of Denominators means GCF of 546,694,230 as per the given fractions.

GCF of 546,694,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,539,212

LCM of Fractions 28/546,539/694,212/230 is 57134

2 28, 539, 212
2 14, 539, 106
7 7, 539, 53
1, 77, 53

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 77 x 53 = 114268

Least Common Multiple of 28,539,212 with GCF Formula

Least Common Multiple of 28,539,212 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 28,539,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,539,212) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(28,539,212) x common factors =1 x 28 = 28

LCM(28,539,212) = ( 28 × 539 × 212 ) / 28

LCM(28,539,212) = 3199504 / 28

LCM(28,539,212) = 114268


Lets's calculate GCF of 546,694,230

2 546, 694, 230
273, 347, 115

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114268/2

Therefore the LCM of Fractions 28/546,539/694,212/230 is 57134

Greatest Common Factor of 546,694,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,694,230 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 546,694,230 . The biggest common factor number is the GCF number.
So the greatest common factor 546,694,230 is 2.


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 28/546, 539/694, 212/230

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 28/546, 539/694, 212/230?

Answer: LCM of Numerators as per given numbers 28/546, 539/694, 212/230 is

LCM of Numerators i.e. for 28,539,212 is 114268

GCF of denominators i.e. for 546,694,230 is 2.

Thus, LCM of Fractions is 57134.Finally, LCM of Fractions for 28/546, 539/694, 212/230 is 57134.