Least Common Multiple of 728/24, 806/67, 431/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/24, 806/67, 431/488 quickly i.e. 9726808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/24, 806/67, 431/488 is 9726808.

LCM(728/24, 806/67, 431/488) = 9726808

LCM of 728/24, 806/67, 431/488

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 728/24,806/67,431/488

Given numbers are 728/24,806/67,431/488

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 728,806,431

Least Common Multiple of Numerators i.e. LCM of 728,806,431 is 9726808.

GCF of Denominators means GCF of 24,67,488 as per the given fractions.

GCF of 24,67,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,806,431

LCM of Fractions 728/24,806/67,431/488 is 9726808

2 728, 806, 431
13 364, 403, 431
28, 31, 431

∴ So the LCM of the given numbers is 2 x 13 x 28 x 31 x 431 = 9726808

Least Common Multiple of 728,806,431 with GCF Formula

Least Common Multiple of 728,806,431 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 728,806,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,806,431) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(728,806,431) x common factors =1 x 26 = 26

LCM(728,806,431) = ( 728 × 806 × 431 ) / 26

LCM(728,806,431) = 252897008 / 26

LCM(728,806,431) = 9726808


Lets's calculate GCF of 24,67,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9726808/1

Therefore the LCM of Fractions 728/24,806/67,431/488 is 9726808

Greatest Common Factor of 24,67,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,67,488 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 24,67,488 . The biggest common factor number is the GCF number.
So the greatest common factor 24,67,488 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 728/24, 806/67, 431/488

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 728/24, 806/67, 431/488?

Answer: LCM of Numerators as per given numbers 728/24, 806/67, 431/488 is

LCM of Numerators i.e. for 728,806,431 is 9726808

GCF of denominators i.e. for 24,67,488 is 1.

Thus, LCM of Fractions is 9726808.Finally, LCM of Fractions for 728/24, 806/67, 431/488 is 9726808.