Least Common Multiple of 9/27, 12/109, 84/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/27, 12/109, 84/353 quickly i.e. 252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/27, 12/109, 84/353 is 252.

LCM(9/27, 12/109, 84/353) = 252

LCM of 9/27, 12/109, 84/353

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 9/27,12/109,84/353

Given numbers are 9/27,12/109,84/353

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 9,12,84

Least Common Multiple of Numerators i.e. LCM of 9,12,84 is 252.

GCF of Denominators means GCF of 27,109,353 as per the given fractions.

GCF of 27,109,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,12,84

LCM of Fractions 9/27,12/109,84/353 is 252

2 9, 12, 84
2 9, 6, 42
3 9, 3, 21
1, 3, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 3 x 7 = 252

Least Common Multiple of 9,12,84 with GCF Formula

Least Common Multiple of 9,12,84 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 9,12,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,12,84) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(9,12,84) x common factors =3 x 12 = 36

LCM(9,12,84) = ( 9 × 12 × 84 ) / 36

LCM(9,12,84) = 9072 / 36

LCM(9,12,84) = 252


Lets's calculate GCF of 27,109,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252/1

Therefore the LCM of Fractions 9/27,12/109,84/353 is 252

Greatest Common Factor of 27,109,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,109,353 By Matching Biggest Common Factor Method

Factors of 27

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

1,3,9,27

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 27,109,353 . The biggest common factor number is the GCF number.
So the greatest common factor 27,109,353 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 9/27, 12/109, 84/353

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 9/27, 12/109, 84/353?

Answer: LCM of Numerators as per given numbers 9/27, 12/109, 84/353 is

LCM of Numerators i.e. for 9,12,84 is 252

GCF of denominators i.e. for 27,109,353 is 1.

Thus, LCM of Fractions is 252.Finally, LCM of Fractions for 9/27, 12/109, 84/353 is 252.