Least Common Multiple of 824/17, 533/82, 281/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/17, 533/82, 281/30 quickly i.e. 123412952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/17, 533/82, 281/30 is 123412952.

LCM(824/17, 533/82, 281/30) = 123412952

LCM of 824/17, 533/82, 281/30

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 824/17,533/82,281/30

Given numbers are 824/17,533/82,281/30

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 824,533,281

Least Common Multiple of Numerators i.e. LCM of 824,533,281 is 123412952.

GCF of Denominators means GCF of 17,82,30 as per the given fractions.

GCF of 17,82,30 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,533,281

LCM of Fractions 824/17,533/82,281/30 is 123412952

Given numbers has no common factors except 1. So, there LCM is their product i.e 123412952

Least Common Multiple of 824,533,281 with GCF Formula

Least Common Multiple of 824,533,281 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 824,533,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,533,281) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(824,533,281) x common factors =1 x 1 = 1

LCM(824,533,281) = ( 824 × 533 × 281 ) / 1

LCM(824,533,281) = 123412952 / 1

LCM(824,533,281) = 123412952


Lets's calculate GCF of 17,82,30

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123412952/1

Therefore the LCM of Fractions 824/17,533/82,281/30 is 123412952

Greatest Common Factor of 17,82,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,82,30 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 17,82,30 . The biggest common factor number is the GCF number.
So the greatest common factor 17,82,30 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 824/17, 533/82, 281/30

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 824/17, 533/82, 281/30?

Answer: LCM of Numerators as per given numbers 824/17, 533/82, 281/30 is

LCM of Numerators i.e. for 824,533,281 is 123412952

GCF of denominators i.e. for 17,82,30 is 1.

Thus, LCM of Fractions is 123412952.Finally, LCM of Fractions for 824/17, 533/82, 281/30 is 123412952.