Least Common Multiple of 808/24, 423/49, 289/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 808/24, 423/49, 289/531 quickly i.e. 98775576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/24, 423/49, 289/531 is 98775576.

LCM(808/24, 423/49, 289/531) = 98775576

LCM of 808/24, 423/49, 289/531

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 808/24,423/49,289/531

Given numbers are 808/24,423/49,289/531

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 808,423,289

Least Common Multiple of Numerators i.e. LCM of 808,423,289 is 98775576.

GCF of Denominators means GCF of 24,49,531 as per the given fractions.

GCF of 24,49,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,423,289

LCM of Fractions 808/24,423/49,289/531 is 98775576

Given numbers has no common factors except 1. So, there LCM is their product i.e 98775576

Least Common Multiple of 808,423,289 with GCF Formula

Least Common Multiple of 808,423,289 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 808,423,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,423,289) = 1

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

GCF(808,423,289) x common factors =1 x 1 = 1

LCM(808,423,289) = ( 808 × 423 × 289 ) / 1

LCM(808,423,289) = 98775576 / 1

LCM(808,423,289) = 98775576


Lets's calculate GCF of 24,49,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98775576/1

Therefore the LCM of Fractions 808/24,423/49,289/531 is 98775576

Greatest Common Factor of 24,49,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,49,531 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 24,49,531 . The biggest common factor number is the GCF number.
So the greatest common factor 24,49,531 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 808/24, 423/49, 289/531

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 808/24, 423/49, 289/531?

Answer: LCM of Numerators as per given numbers 808/24, 423/49, 289/531 is

LCM of Numerators i.e. for 808,423,289 is 98775576

GCF of denominators i.e. for 24,49,531 is 1.

Thus, LCM of Fractions is 98775576.Finally, LCM of Fractions for 808/24, 423/49, 289/531 is 98775576.