Least Common Multiple of 19/800, 12/481, 282/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/800, 12/481, 282/725 quickly i.e. 10716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/800, 12/481, 282/725 is 10716.

LCM(19/800, 12/481, 282/725) = 10716

LCM of 19/800, 12/481, 282/725

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 19/800,12/481,282/725

Given numbers are 19/800,12/481,282/725

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 19,12,282

Least Common Multiple of Numerators i.e. LCM of 19,12,282 is 10716.

GCF of Denominators means GCF of 800,481,725 as per the given fractions.

GCF of 800,481,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,12,282

LCM of Fractions 19/800,12/481,282/725 is 10716

2 19, 12, 282
3 19, 6, 141
19, 2, 47

∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 47 = 10716

Least Common Multiple of 19,12,282 with GCF Formula

Least Common Multiple of 19,12,282 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 19,12,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,12,282) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(19,12,282) x common factors =1 x 6 = 6

LCM(19,12,282) = ( 19 × 12 × 282 ) / 6

LCM(19,12,282) = 64296 / 6

LCM(19,12,282) = 10716


Lets's calculate GCF of 800,481,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10716/1

Therefore the LCM of Fractions 19/800,12/481,282/725 is 10716

Greatest Common Factor of 800,481,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,481,725 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 800,481,725 . The biggest common factor number is the GCF number.
So the greatest common factor 800,481,725 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 19/800, 12/481, 282/725

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 19/800, 12/481, 282/725?

Answer: LCM of Numerators as per given numbers 19/800, 12/481, 282/725 is

LCM of Numerators i.e. for 19,12,282 is 10716

GCF of denominators i.e. for 800,481,725 is 1.

Thus, LCM of Fractions is 10716.Finally, LCM of Fractions for 19/800, 12/481, 282/725 is 10716.