Least Common Multiple of 12/282, 19/900, 768/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/282, 19/900, 768/209 quickly i.e. 14592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/282, 19/900, 768/209 is 14592.

LCM(12/282, 19/900, 768/209) = 14592

LCM of 12/282, 19/900, 768/209

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 12/282,19/900,768/209

Given numbers are 12/282,19/900,768/209

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 12,19,768

Least Common Multiple of Numerators i.e. LCM of 12,19,768 is 14592.

GCF of Denominators means GCF of 282,900,209 as per the given fractions.

GCF of 282,900,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,19,768

LCM of Fractions 12/282,19/900,768/209 is 14592

2 12, 19, 768
2 6, 19, 384
3 3, 19, 192
1, 19, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 19 x 64 = 14592

Least Common Multiple of 12,19,768 with GCF Formula

Least Common Multiple of 12,19,768 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 12,19,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,19,768) = 1

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

GCF(12,19,768) x common factors =1 x 12 = 12

LCM(12,19,768) = ( 12 × 19 × 768 ) / 12

LCM(12,19,768) = 175104 / 12

LCM(12,19,768) = 14592


Lets's calculate GCF of 282,900,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14592/1

Therefore the LCM of Fractions 12/282,19/900,768/209 is 14592

Greatest Common Factor of 282,900,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,900,209 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 282,900,209 . The biggest common factor number is the GCF number.
So the greatest common factor 282,900,209 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 12/282, 19/900, 768/209

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 12/282, 19/900, 768/209?

Answer: LCM of Numerators as per given numbers 12/282, 19/900, 768/209 is

LCM of Numerators i.e. for 12,19,768 is 14592

GCF of denominators i.e. for 282,900,209 is 1.

Thus, LCM of Fractions is 14592.Finally, LCM of Fractions for 12/282, 19/900, 768/209 is 14592.