Least Common Multiple of 24/424, 82/895, 903/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/424, 82/895, 903/440 quickly i.e. 296184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/424, 82/895, 903/440 is 296184.

LCM(24/424, 82/895, 903/440) = 296184

LCM of 24/424, 82/895, 903/440

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 24/424,82/895,903/440

Given numbers are 24/424,82/895,903/440

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 24,82,903

Least Common Multiple of Numerators i.e. LCM of 24,82,903 is 296184.

GCF of Denominators means GCF of 424,895,440 as per the given fractions.

GCF of 424,895,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,82,903

LCM of Fractions 24/424,82/895,903/440 is 296184

2 24, 82, 903
3 12, 41, 903
4, 41, 301

∴ So the LCM of the given numbers is 2 x 3 x 4 x 41 x 301 = 296184

Least Common Multiple of 24,82,903 with GCF Formula

Least Common Multiple of 24,82,903 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 24,82,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,82,903) = 1

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

GCF(24,82,903) x common factors =1 x 6 = 6

LCM(24,82,903) = ( 24 × 82 × 903 ) / 6

LCM(24,82,903) = 1777104 / 6

LCM(24,82,903) = 296184


Lets's calculate GCF of 424,895,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296184/1

Therefore the LCM of Fractions 24/424,82/895,903/440 is 296184

Greatest Common Factor of 424,895,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,895,440 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 424,895,440 . The biggest common factor number is the GCF number.
So the greatest common factor 424,895,440 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/424, 82/895, 903/440

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 24/424, 82/895, 903/440?

Answer: LCM of Numerators as per given numbers 24/424, 82/895, 903/440 is

LCM of Numerators i.e. for 24,82,903 is 296184

GCF of denominators i.e. for 424,895,440 is 1.

Thus, LCM of Fractions is 296184.Finally, LCM of Fractions for 24/424, 82/895, 903/440 is 296184.