Least Common Multiple of 549/21, 338/27, 845/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/21, 338/27, 845/534 quickly i.e. 309270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/21, 338/27, 845/534 is 309270.

LCM(549/21, 338/27, 845/534) = 309270

LCM of 549/21, 338/27, 845/534

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 549/21,338/27,845/534

Given numbers are 549/21,338/27,845/534

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 549,338,845

Least Common Multiple of Numerators i.e. LCM of 549,338,845 is 927810.

GCF of Denominators means GCF of 21,27,534 as per the given fractions.

GCF of 21,27,534 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,338,845

LCM of Fractions 549/21,338/27,845/534 is 309270

13 549, 338, 845
13 549, 26, 65
549, 2, 5

∴ So the LCM of the given numbers is 13 x 13 x 549 x 2 x 5 = 927810

Least Common Multiple of 549,338,845 with GCF Formula

Least Common Multiple of 549,338,845 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 549,338,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,338,845) = 1

common factors(in case of two or more numbers have common factors) = 169

GCF(549,338,845) x common factors =1 x 169 = 169

LCM(549,338,845) = ( 549 × 338 × 845 ) / 169

LCM(549,338,845) = 156799890 / 169

LCM(549,338,845) = 927810


Lets's calculate GCF of 21,27,534

3 21, 27, 534
7, 9, 178

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 927810/3

Therefore the LCM of Fractions 549/21,338/27,845/534 is 309270

Greatest Common Factor of 21,27,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,27,534 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 27

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

1,3,9,27

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 21,27,534 . The biggest common factor number is the GCF number.
So the greatest common factor 21,27,534 is 3.


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 549/21, 338/27, 845/534

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 549/21, 338/27, 845/534?

Answer: LCM of Numerators as per given numbers 549/21, 338/27, 845/534 is

LCM of Numerators i.e. for 549,338,845 is 927810

GCF of denominators i.e. for 21,27,534 is 3.

Thus, LCM of Fractions is 309270.Finally, LCM of Fractions for 549/21, 338/27, 845/534 is 309270.