Least Common Multiple of 583/638, 716/375, 717/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 583/638, 716/375, 717/808 quickly i.e. 299295876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/638, 716/375, 717/808 is 299295876.

LCM(583/638, 716/375, 717/808) = 299295876

LCM of 583/638, 716/375, 717/808

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 583/638,716/375,717/808

Given numbers are 583/638,716/375,717/808

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 583,716,717

Least Common Multiple of Numerators i.e. LCM of 583,716,717 is 299295876.

GCF of Denominators means GCF of 638,375,808 as per the given fractions.

GCF of 638,375,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,716,717

LCM of Fractions 583/638,716/375,717/808 is 299295876

Given numbers has no common factors except 1. So, there LCM is their product i.e 299295876

Least Common Multiple of 583,716,717 with GCF Formula

Least Common Multiple of 583,716,717 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 583,716,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,716,717) = 1

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

GCF(583,716,717) x common factors =1 x 1 = 1

LCM(583,716,717) = ( 583 × 716 × 717 ) / 1

LCM(583,716,717) = 299295876 / 1

LCM(583,716,717) = 299295876


Lets's calculate GCF of 638,375,808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299295876/1

Therefore the LCM of Fractions 583/638,716/375,717/808 is 299295876

Greatest Common Factor of 638,375,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,375,808 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 638,375,808 . The biggest common factor number is the GCF number.
So the greatest common factor 638,375,808 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 583/638, 716/375, 717/808

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 583/638, 716/375, 717/808?

Answer: LCM of Numerators as per given numbers 583/638, 716/375, 717/808 is

LCM of Numerators i.e. for 583,716,717 is 299295876

GCF of denominators i.e. for 638,375,808 is 1.

Thus, LCM of Fractions is 299295876.Finally, LCM of Fractions for 583/638, 716/375, 717/808 is 299295876.