Least Common Multiple of 24/373, 396/649, 387/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/373, 396/649, 387/493 quickly i.e. 34056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/373, 396/649, 387/493 is 34056.

LCM(24/373, 396/649, 387/493) = 34056

LCM of 24/373, 396/649, 387/493

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 24/373,396/649,387/493

Given numbers are 24/373,396/649,387/493

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 24,396,387

Least Common Multiple of Numerators i.e. LCM of 24,396,387 is 34056.

GCF of Denominators means GCF of 373,649,493 as per the given fractions.

GCF of 373,649,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,396,387

LCM of Fractions 24/373,396/649,387/493 is 34056

2 24, 396, 387
2 12, 198, 387
3 6, 99, 387
3 2, 33, 129
2, 11, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 11 x 43 = 34056

Least Common Multiple of 24,396,387 with GCF Formula

Least Common Multiple of 24,396,387 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 24,396,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,396,387) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(24,396,387) x common factors =3 x 36 = 108

LCM(24,396,387) = ( 24 × 396 × 387 ) / 108

LCM(24,396,387) = 3678048 / 108

LCM(24,396,387) = 34056


Lets's calculate GCF of 373,649,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34056/1

Therefore the LCM of Fractions 24/373,396/649,387/493 is 34056

Greatest Common Factor of 373,649,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,649,493 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 373,649,493 . The biggest common factor number is the GCF number.
So the greatest common factor 373,649,493 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 24/373, 396/649, 387/493

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 24/373, 396/649, 387/493?

Answer: LCM of Numerators as per given numbers 24/373, 396/649, 387/493 is

LCM of Numerators i.e. for 24,396,387 is 34056

GCF of denominators i.e. for 373,649,493 is 1.

Thus, LCM of Fractions is 34056.Finally, LCM of Fractions for 24/373, 396/649, 387/493 is 34056.